2257102940400 has 2400 divisors, whose sum is σ = 11260317150720. Its totient is φ = 418037760000.

The previous prime is 2257102940363. The next prime is 2257102940413. The reversal of 2257102940400 is 40492017522.

2257102940400 is a `hidden beast` number, since 2 + 2 + 571 + 0 + 2 + 9 + 40 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 805819000 + ... + 805821800.

Almost surely, 2^{2257102940400} is an apocalyptic number.

2257102940400 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 2257102940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630158575360).

2257102940400 is an abundant number, since it is smaller than the sum of its proper divisors (9003214210320).

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

2257102940400 is a wasteful number, since it uses less digits than its factorization.

2257102940400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 2257102940400 its reverse (40492017522), we get a palindrome (2297594957922).

The spelling of 2257102940400 in words is "two trillion, two hundred fifty-seven billion, one hundred two million, nine hundred forty thousand, four hundred".