2257406460 has 36 divisors (see below), whose sum is σ = 6847466808. Its totient is φ = 601975008.

The previous prime is 2257406441. The next prime is 2257406483. The reversal of 2257406460 is 646047522.

2257406460 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 4 + 0 + 646 + 0 = 666.

2257406460 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2257406460³ (a number of 29 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 6270394 + ... + 6270753.

Almost surely, 2^2257406460 is an apocalyptic number.

2257406460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2257406460 is an abundant number, since it is smaller than the sum of its proper divisors (4590060348).

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

2257406460 is a wasteful number, since it uses less digits than its factorization.

2257406460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12541162 (or 12541157 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2257406460 is about 47512.1717036803. The cubic root of 2257406460 is about 1311.8069309583.

The spelling of 2257406460 in words is "two billion, two hundred fifty-seven million, four hundred six thousand, four hundred sixty".