2815716096 has 216 divisors, whose sum is σ = 8628459840. Its totient is φ = 880588800.

The previous prime is 2815716061. The next prime is 2815716131. The reversal of 2815716096 is 6906175182.

2815716096 is a `hidden beast` number, since 28 + 15 + 7 + 1 + 609 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2815716061) and next prime (2815716131).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5734411 + ... + 5734901.

Almost surely, 2^2815716096 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 2815716096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314229920).

2815716096 is an abundant number, since it is smaller than the sum of its proper divisors (5812743744).

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

2815716096 is a wasteful number, since it uses less digits than its factorization.

2815716096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2815716096 is about 53063.3215696115. The cubic root of 2815716096 is about 1412.0918760955.

It can be divided in two parts, 28157 and 16096, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 2815716096 in words is "two billion, eight hundred fifteen million, seven hundred sixteen thousand, ninety-six".