2715048000 has 336 divisors, whose sum is σ = 11101693824. Its totient is φ = 620467200.

The previous prime is 2715047999. The next prime is 2715048029. The reversal of 2715048000 is 8405172.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 501307 + ... + 506693.

Almost surely, 2^2715048000 is an apocalyptic number.

2715048000 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 2715048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5550846912).

2715048000 is an abundant number, since it is smaller than the sum of its proper divisors (8386645824).

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

2715048000 is a wasteful number, since it uses less digits than its factorization.

2715048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5427 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2715048000 is about 52106.1224809523. The cubic root of 2715048000 is about 1395.0587711779.

The spelling of 2715048000 in words is "two billion, seven hundred fifteen million, forty-eight thousand".