2715920232480 has 2592 divisors, whose sum is σ = 12529016236800. Its totient is φ = 547524956160.

The previous prime is 2715920232457. The next prime is 2715920232497. The reversal of 2715920232480 is 842320295172.

2715920232480 is a `hidden beast` number, since 2 + 71 + 59 + 20 + 2 + 32 + 480 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 34378737081 + ... + 34378737159.

It is an arithmetic number, because the mean of its divisors is an integer number (4833725400).

Almost surely, 2^{2715920232480} is an apocalyptic number.

2715920232480 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 2715920232480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6264508118400).

2715920232480 is an abundant number, since it is smaller than the sum of its proper divisors (9813096004320).

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

2715920232480 is a wasteful number, since it uses less digits than its factorization.

2715920232480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2715920232480 in words is "two trillion, seven hundred fifteen billion, nine hundred twenty million, two hundred thirty-two thousand, four hundred eighty".