2008272816 has 90 divisors (see below), whose sum is σ = 6177820740. Its totient is φ = 608562240.

The previous prime is 2008272803. The next prime is 2008272829. The reversal of 2008272816 is 6182728002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2008272803) and next prime (2008272829).

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 17 ways as a sum of consecutive naturals, for example, 40206 + ... + 75053.

Almost surely, 2^2008272816 is an apocalyptic number.

It is an amenable number.

2008272816 is an abundant number, since it is smaller than the sum of its proper divisors (4169547924).

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

2008272816 is a wasteful number, since it uses less digits than its factorization.

2008272816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115295 (or 115275 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2008272816 is about 44813.7569949229. The cubic root of 2008272816 is about 1261.6558426555.

The spelling of 2008272816 in words is "two billion, eight million, two hundred seventy-two thousand, eight hundred sixteen".