2252406816 has 72 divisors (see below), whose sum is σ = 6987590064. Its totient is φ = 682546560.

The previous prime is 2252406809. The next prime is 2252406839. The reversal of 2252406816 is 6186042522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

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, 352326 + ... + 358661.

It is an arithmetic number, because the mean of its divisors is an integer number (97049862).

Almost surely, 2^2252406816 is an apocalyptic number.

It is an amenable number.

2252406816 is an abundant number, since it is smaller than the sum of its proper divisors (4735183248).

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

2252406816 is a wasteful number, since it uses less digits than its factorization.

2252406816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711014 (or 711003 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2252406816 is about 47459.5281898166. The cubic root of 2252406816 is about 1310.8377633688.

The spelling of 2252406816 in words is "two billion, two hundred fifty-two million, four hundred six thousand, eight hundred sixteen".