2257959838320 has 640 divisors, whose sum is σ = 8532659232000. Its totient is φ = 546277294080.

The previous prime is 2257959838319. The next prime is 2257959838357. The reversal of 2257959838320 is 238389597522.

2257959838320 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 9 + 598 + 3 + 8 + 32 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 861486610 + ... + 861489230.

It is an arithmetic number, because the mean of its divisors is an integer number (13332280050).

Almost surely, 2^{2257959838320} is an apocalyptic number.

2257959838320 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 2257959838320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266329616000).

2257959838320 is an abundant number, since it is smaller than the sum of its proper divisors (6274699393680).

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

2257959838320 is a wasteful number, since it uses less digits than its factorization.

2257959838320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 2257959838320 in words is "two trillion, two hundred fifty-seven billion, nine hundred fifty-nine million, eight hundred thirty-eight thousand, three hundred twenty".