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2420210440 = 2351722715679
BaseRepresentation
bin1001000001000001…
…0111101100001000
320020200001102120201
42100100113230020
514424033213230
61040053301544
7113655310054
oct22020275410
96220042521
102420210440
111032166a1a
125766348b4
132c7543aab
1418d600c64
15e27195ca
hex90417b08

2420210440 has 64 divisors (see below), whose sum is σ = 5791564800. Its totient is φ = 907066368.

The previous prime is 2420210437. The next prime is 2420210473. The reversal of 2420210440 is 440120242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146521 + ... + 162199.

It is an arithmetic number, because the mean of its divisors is an integer number (90493200).

Almost surely, 22420210440 is an apocalyptic number.

2420210440 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 2420210440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895782400).

2420210440 is an abundant number, since it is smaller than the sum of its proper divisors (3371354360).

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

2420210440 is a wasteful number, since it uses less digits than its factorization.

2420210440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15934 (or 15930 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2420210440 is about 49195.6343591583. The cubic root of 2420210440 is about 1342.6136039625.

Adding to 2420210440 its reverse (440120242), we get a palindrome (2860330682).

The spelling of 2420210440 in words is "two billion, four hundred twenty million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 227 340 454 680 908 1135 1816 2270 3859 4540 7718 9080 15436 15679 19295 30872 31358 38590 62716 77180 78395 125432 154360 156790 266543 313580 533086 627160 1066172 1332715 2132344 2665430 3559133 5330860 7118266 10661720 14236532 17795665 28473064 35591330 60505261 71182660 121010522 142365320 242021044 302526305 484042088 605052610 1210105220 2420210440