2257307210704 has 480 divisors, whose sum is σ = 5816149992576. Its totient is φ = 840081715200.

The previous prime is 2257307210699. The next prime is 2257307210731. The reversal of 2257307210704 is 4070127037522.

2257307210704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1735054854 + ... + 1735056154.

Almost surely, 2^{2257307210704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257307210704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908074996288).

2257307210704 is an abundant number, since it is smaller than the sum of its proper divisors (3558842781872).

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

2257307210704 is a wasteful number, since it uses less digits than its factorization.

2257307210704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The spelling of 2257307210704 in words is "two trillion, two hundred fifty-seven billion, three hundred seven million, two hundred ten thousand, seven hundred four".