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2420204442420 = 22351913271599839
BaseRepresentation
bin100011001101111111011…
…011010001001100110100
322120100222012122020111010
4203031333123101030310
5304123034314124140
65051454312312220
7336565631222022
oct43157733211464
98510865566433
102420204442420
11853448349886
123310756a2670
131472bba2b68b
14851d2155712
1542e4d577880
hex2337f6d1334

2420204442420 has 96 divisors (see below), whose sum is σ = 7138614067200. Its totient is φ = 610958934144.

The previous prime is 2420204442419. The next prime is 2420204442421. The reversal of 2420204442420 is 242444020242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2420204442419) and next prime (2420204442421).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420204442421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712861 + ... + 2312699.

It is an arithmetic number, because the mean of its divisors is an integer number (74360563200).

Almost surely, 22420204442420 is an apocalyptic number.

2420204442420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420204442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569307033600).

2420204442420 is an abundant number, since it is smaller than the sum of its proper divisors (4718409624780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2420204442420 is a wasteful number, since it uses less digits than its factorization.

2420204442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601197 (or 1601195 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 2420204442420 its reverse (242444020242), we get a palindrome (2662648462662).

The spelling of 2420204442420 in words is "two trillion, four hundred twenty billion, two hundred four million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1327 2654 3981 5308 6635 7962 13270 15924 19905 25213 26540 39810 50426 75639 79620 100852 126065 151278 252130 302556 378195 504260 756390 1512780 1599839 3199678 4799517 6399356 7999195 9599034 15998390 19198068 23997585 30396941 31996780 47995170 60793882 91190823 95990340 121587764 151984705 182381646 303969410 364763292 455954115 607938820 911908230 1823816460 2122986353 4245972706 6368959059 8491945412 10614931765 12737918118 21229863530 25475836236 31844795295 40336740707 42459727060 63689590590 80673481414 121010222121 127379181180 161346962828 201683703535 242020444242 403367407070 484040888484 605051110605 806734814140 1210102221210 2420204442420