2715894720 has 672 divisors, whose sum is σ = 11997513216. Its totient is φ = 547430400.

The previous prime is 2715894707. The next prime is 2715894733. The reversal of 2715894720 is 274985172.

It is a happy number.

2715894720 is a `hidden beast` number, since 2 + 7 + 1 + 589 + 47 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2715894707) and next prime (2715894733).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8204955 + ... + 8205285.

Almost surely, 2^2715894720 is an apocalyptic number.

2715894720 is a gapful number since it is divisible by the number (20) 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 2715894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998756608).

2715894720 is an abundant number, since it is smaller than the sum of its proper divisors (9281618496).

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

2715894720 is a wasteful number, since it uses less digits than its factorization.

2715894720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 2715894720 is about 52114.2468044968. The cubic root of 2715894720 is about 1395.2037779932.

The spelling of 2715894720 in words is "two billion, seven hundred fifteen million, eight hundred ninety-four thousand, seven hundred twenty".