2715921408 has 264 divisors, whose sum is σ = 7986247680. Its totient is φ = 819486720.

The previous prime is 2715921359. The next prime is 2715921413. The reversal of 2715921408 is 8041295172.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34378713 + ... + 34378791.

Almost surely, 2^2715921408 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 2715921408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993123840).

2715921408 is an abundant number, since it is smaller than the sum of its proper divisors (5270326272).

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

2715921408 is a wasteful number, since it uses less digits than its factorization.

2715921408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 2715921408 is about 52114.5028566905. The cubic root of 2715921408 is about 1395.2083480128.

The spelling of 2715921408 in words is "two billion, seven hundred fifteen million, nine hundred twenty-one thousand, four hundred eight".