2257031400 has 288 divisors, whose sum is σ = 7891265760. Its totient is φ = 530449920.

The previous prime is 2257031393. The next prime is 2257031443. The reversal of 2257031400 is 41307522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4125927 + ... + 4126473.

Almost surely, 2^2257031400 is an apocalyptic number.

2257031400 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 2257031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945632880).

2257031400 is an abundant number, since it is smaller than the sum of its proper divisors (5634234360).

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

2257031400 is a wasteful number, since it uses less digits than its factorization.

2257031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2257031400 is about 47508.2245511238. The cubic root of 2257031400 is about 1311.7342762596.

Adding to 2257031400 its reverse (41307522), we get a palindrome (2298338922).

The spelling of 2257031400 in words is "two billion, two hundred fifty-seven million, thirty-one thousand, four hundred".