2251206504 has 48 divisors (see below), whose sum is σ = 6455669220. Its totient is φ = 706260480.

The previous prime is 2251206497. The next prime is 2251206523. The reversal of 2251206504 is 4056021522.

2251206504 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 2 + 0 + 650 + 4 = 666.

2251206504 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 2 ways, for example, as 2199797604 + 51408900 = 46902^2 + 7170^2 .

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, 918387 + ... + 920834.

Almost surely, 2^2251206504 is an apocalyptic number.

2251206504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2251206504 is an abundant number, since it is smaller than the sum of its proper divisors (4204462716).

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

2251206504 is a wasteful number, since it uses less digits than its factorization.

2251206504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839250 (or 1839243 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2251206504 is about 47446.8808669232. The cubic root of 2251206504 is about 1310.6048726581.

The spelling of 2251206504 in words is "two billion, two hundred fifty-one million, two hundred six thousand, five hundred four".