2257800376320 has 520 divisors, whose sum is σ = 8107922291040. Its totient is φ = 601018859520.

The previous prime is 2257800376241. The next prime is 2257800376343. The reversal of 2257800376320 is 236730087522.

2257800376320 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 8 + 0 + 0 + 3 + 7 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1524509980 + ... + 1524511460.

It is an arithmetic number, because the mean of its divisors is an integer number (15592158252).

Almost surely, 2^{2257800376320} is an apocalyptic number.

2257800376320 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 2257800376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053961145520).

2257800376320 is an abundant number, since it is smaller than the sum of its proper divisors (5850121914720).

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

2257800376320 is an equidigital number, since it uses as much as digits as its factorization.

2257800376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 2257800376320 in words is "two trillion, two hundred fifty-seven billion, eight hundred million, three hundred seventy-six thousand, three hundred twenty".