2815713984 has 56 divisors (see below), whose sum is σ = 7479718848. Its totient is φ = 934816000.

The previous prime is 2815713959. The next prime is 2815714001. The reversal of 2815713984 is 4893175182.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 18979 + ... + 77405.

It is an arithmetic number, because the mean of its divisors is an integer number (133566408).

Almost surely, 2^2815713984 is an apocalyptic number.

2815713984 is a gapful number since it is divisible by the number (24) 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 2815713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739859424).

2815713984 is an abundant number, since it is smaller than the sum of its proper divisors (4664004864).

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

2815713984 is a wasteful number, since it uses less digits than its factorization.

2815713984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58693 (or 58683 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 2815713984 is about 53063.3016688558. The cubic root of 2815713984 is about 1412.0915230368.

The spelling of 2815713984 in words is "two billion, eight hundred fifteen million, seven hundred thirteen thousand, nine hundred eighty-four".