2815793408 has 72 divisors (see below), whose sum is σ = 5856550560. Its totient is φ = 1349980160.

The previous prime is 2815793347. The next prime is 2815793413. The reversal of 2815793408 is 8043975182.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 616991 + ... + 621537.

It is an arithmetic number, because the mean of its divisors is an integer number (81340980).

Almost surely, 2^2815793408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2815793408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928275280).

2815793408 is an abundant number, since it is smaller than the sum of its proper divisors (3040757152).

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

2815793408 is an equidigital number, since it uses as much as digits as its factorization.

2815793408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 2815793408 is about 53064.0500527429. The cubic root of 2815793408 is about 1412.1048000604.

The spelling of 2815793408 in words is "two billion, eight hundred fifteen million, seven hundred ninety-three thousand, four hundred eight".