2208456864 has 72 divisors (see below), whose sum is σ = 6482915712. Its totient is φ = 712402560.

The previous prime is 2208456797. The next prime is 2208456869. The reversal of 2208456864 is 4686548022.

2208456864 = 151² + 152² + ... + 1878².

2208456864 is a `hidden beast` number, since 2 + 2 + 0 + 84 + 568 + 6 + 4 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2208456869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114754 + ... + 132609.

It is an arithmetic number, because the mean of its divisors is an integer number (90040496).

Almost surely, 2^2208456864 is an apocalyptic number.

2208456864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2208456864 is an abundant number, since it is smaller than the sum of its proper divisors (4274458848).

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

2208456864 is a wasteful number, since it uses less digits than its factorization.

2208456864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247410 (or 247399 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2208456864 is about 46994.2216022353. The cubic root of 2208456864 is about 1302.2558198226.

The spelling of 2208456864 in words is "two billion, two hundred eight million, four hundred fifty-six thousand, eight hundred sixty-four".