2257403904 has 300 divisors, whose sum is σ = 7739303264. Its totient is φ = 644972544.

The previous prime is 2257403903. The next prime is 2257403959. The reversal of 2257403904 is 4093047522.

2257403904 is a `hidden beast` number, since 225 + 7 + 40 + 390 + 4 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257403903) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 322486269 + ... + 322486275.

Almost surely, 2^2257403904 is an apocalyptic number.

2257403904 is a gapful number since it is divisible by the number (24) 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 2257403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869651632).

2257403904 is an abundant number, since it is smaller than the sum of its proper divisors (5481899360).

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

2257403904 is an frugal number, since it uses more digits than its factorization.

2257403904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2257403904 is about 47512.1448053021. The cubic root of 2257403904 is about 1311.8064358503.

The spelling of 2257403904 in words is "two billion, two hundred fifty-seven million, four hundred three thousand, nine hundred four".