2257703928480 has 2304 divisors, whose sum is σ = 10331176181760. Its totient is φ = 400077619200.

The previous prime is 2257703928457. The next prime is 2257703928499. The reversal of 2257703928480 is 848293077522.

It is a super-2 number, since 2×2257703928480² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2257703928480.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9858969006 + ... + 9858969234.

It is an arithmetic number, because the mean of its divisors is an integer number (4484017440).

Almost surely, 2^{2257703928480} is an apocalyptic number.

2257703928480 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 2257703928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5165588090880).

2257703928480 is an abundant number, since it is smaller than the sum of its proper divisors (8073472253280).

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

2257703928480 is a wasteful number, since it uses less digits than its factorization.

2257703928480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 2257703928480 in words is "two trillion, two hundred fifty-seven billion, seven hundred three million, nine hundred twenty-eight thousand, four hundred eighty".