2715648000 has 512 divisors, whose sum is σ = 10305247680. Its totient is φ = 629145600.

The previous prime is 2715647993. The next prime is 2715648029. The reversal of 2715648000 is 8465172.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-3 number, since 3×2715648000³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159743992 + ... + 159744008.

Almost surely, 2^2715648000 is an apocalyptic number.

2715648000 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 2715648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152623840).

2715648000 is an abundant number, since it is smaller than the sum of its proper divisors (7589599680).

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

2715648000 is an equidigital number, since it uses as much as digits as its factorization.

2715648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2715648000 is about 52111.8796437050. The cubic root of 2715648000 is about 1395.1615285523.

The spelling of 2715648000 in words is "two billion, seven hundred fifteen million, six hundred forty-eight thousand".