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2420203040 = 255107373379
BaseRepresentation
bin1001000001000001…
…0101111000100000
320020200001001102122
42100100111320200
514424032444130
61040053203412
7113655246353
oct22020257040
96220031378
102420203040
111032161402
12576630568
132c7540608
1418d5dc29a
15e27172e5
hex90415e20

2420203040 has 96 divisors (see below), whose sum is σ = 5801906880. Its totient is φ = 953938944.

The previous prime is 2420203039. The next prime is 2420203043. The reversal of 2420203040 is 403020242.

It is not an unprimeable number, because it can be changed into a prime (2420203043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6385571 + ... + 6385949.

It is an arithmetic number, because the mean of its divisors is an integer number (60436530).

Almost surely, 22420203040 is an apocalyptic number.

2420203040 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 2420203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900953440).

2420203040 is an abundant number, since it is smaller than the sum of its proper divisors (3381703840).

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

2420203040 is a wasteful number, since it uses less digits than its factorization.

2420203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2420203040 is about 49195.5591491752. The cubic root of 2420203040 is about 1342.6122355759.

Adding to 2420203040 its reverse (403020242), we get a palindrome (2823223282).

The spelling of 2420203040 in words is "two billion, four hundred twenty million, two hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 373 379 428 535 746 758 856 1070 1492 1516 1712 1865 1895 2140 2984 3032 3424 3730 3790 4280 5968 6064 7460 7580 8560 11936 12128 14920 15160 17120 29840 30320 39911 40553 59680 60640 79822 81106 141367 159644 162212 199555 202765 282734 319288 324424 399110 405530 565468 638576 648848 706835 798220 811060 1130936 1277152 1297696 1413670 1596440 1622120 2261872 2827340 3192880 3244240 4523744 5654680 6385760 6488480 11309360 15126269 22618720 30252538 60505076 75631345 121010152 151262690 242020304 302525380 484040608 605050760 1210101520 2420203040