2513297808 has 300 divisors, whose sum is σ = 8911475760. Its totient is φ = 679964544.

The previous prime is 2513297803. The next prime is 2513297821. The reversal of 2513297808 is 8087923152.

It is a happy number.

2513297808 is a `hidden beast` number, since 251 + 329 + 78 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2513297803) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1205535 + ... + 1207617.

Almost surely, 2^2513297808 is an apocalyptic number.

2513297808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513297808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455737880).

2513297808 is an abundant number, since it is smaller than the sum of its proper divisors (6398177952).

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

2513297808 is a wasteful number, since it uses less digits than its factorization.

2513297808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2513297808 is about 50132.8017170395. The cubic root of 2513297808 is about 1359.6109411913.

The spelling of 2513297808 in words is "two billion, five hundred thirteen million, two hundred ninety-seven thousand, eight hundred eight".