2251713906 has 48 divisors (see below), whose sum is σ = 5257436184. Its totient is φ = 692381952.

The previous prime is 2251713857. The next prime is 2251713931. The reversal of 2251713906 is 6093171522.

2251713906 is a `hidden beast` number, since 2 + 2 + 517 + 139 + 0 + 6 = 666.

2251713906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2222651025 + 29062881 = 47145^2 + 5391^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610540 + ... + 614216.

Almost surely, 2^2251713906 is an apocalyptic number.

2251713906 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2251713906 is an abundant number, since it is smaller than the sum of its proper divisors (3005722278).

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

2251713906 is a wasteful number, since it uses less digits than its factorization.

2251713906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6315 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2251713906 is about 47452.2276189432. The cubic root of 2251713906 is about 1310.7033315033.

The spelling of 2251713906 in words is "two billion, two hundred fifty-one million, seven hundred thirteen thousand, nine hundred six".