2715987456 has 640 divisors, whose sum is σ = 10559324160. Its totient is φ = 668860416.

The previous prime is 2715987437. The next prime is 2715987511. The reversal of 2715987456 is 6547895172.

2715987456 is a `hidden beast` number, since 2 + 7 + 1 + 598 + 7 + 45 + 6 = 666.

It is a super-2 number, since 2×2715987456² = 14753175722298703872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21385665 + ... + 21385791.

It is an arithmetic number, because the mean of its divisors is an integer number (16498944).

Almost surely, 2^2715987456 is an apocalyptic number.

2715987456 is a gapful number since it is divisible by the number (26) 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 2715987456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279662080).

2715987456 is an abundant number, since it is smaller than the sum of its proper divisors (7843336704).

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

2715987456 is a wasteful number, since it uses less digits than its factorization.

2715987456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 2715987456 is about 52115.1365344081. The cubic root of 2715987456 is about 1395.2196578607.

The spelling of 2715987456 in words is "two billion, seven hundred fifteen million, nine hundred eighty-seven thousand, four hundred fifty-six".