2257525074120 has 128 divisors (see below), whose sum is σ = 6798422016000. Its totient is φ = 599712664320.

The previous prime is 2257525074071. The next prime is 2257525074121. The reversal of 2257525074120 is 214705257522.

It is a super-2 number, since 2×2257525074120² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2257525074121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42665841 + ... + 42718719.

It is an arithmetic number, because the mean of its divisors is an integer number (53112672000).

Almost surely, 2^{2257525074120} is an apocalyptic number.

2257525074120 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 2257525074120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399211008000).

2257525074120 is an abundant number, since it is smaller than the sum of its proper divisors (4540896941880).

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

2257525074120 is a wasteful number, since it uses less digits than its factorization.

2257525074120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54243 (or 54239 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 42.

The spelling of 2257525074120 in words is "two trillion, two hundred fifty-seven billion, five hundred twenty-five million, seventy-four thousand, one hundred twenty".