2457216288 has 72 divisors (see below), whose sum is σ = 6992543376. Its totient is φ = 818505600.

The previous prime is 2457216257. The next prime is 2457216299. The reversal of 2457216288 is 8826127542.

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

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, 727243 + ... + 730613.

It is an arithmetic number, because the mean of its divisors is an integer number (97118658).

Almost surely, 2^2457216288 is an apocalyptic number.

It is an amenable number.

2457216288 is an abundant number, since it is smaller than the sum of its proper divisors (4535327088).

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

2457216288 is a wasteful number, since it uses less digits than its factorization.

2457216288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918 (or 5907 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 2457216288 is about 49570.3166017729. The cubic root of 2457216288 is about 1349.4220274863.

The spelling of 2457216288 in words is "two billion, four hundred fifty-seven million, two hundred sixteen thousand, two hundred eighty-eight".