2613596712480 has 480 divisors, whose sum is σ = 10175646439728. Its totient is φ = 627653836800.

The previous prime is 2613596712403. The next prime is 2613596712523. The reversal of 2613596712480 is 842176953162.

It is a happy number.

2613596712480 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 5 + 96 + 71 + 2 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 347764960656 + 2265831751824 = 589716^2 + 1505268^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6718500 + ... + 7096860.

It is a 1-persistent number, because it is pandigital, but 2⋅2613596712480 = 5227193424960 is not.

Almost surely, 2^{2613596712480} is an apocalyptic number.

2613596712480 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 2613596712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087823219864).

2613596712480 is an abundant number, since it is smaller than the sum of its proper divisors (7562049727248).

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

2613596712480 is a wasteful number, since it uses less digits than its factorization.

2613596712480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378442 (or 378425 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2613596712480 in words is "two trillion, six hundred thirteen billion, five hundred ninety-six million, seven hundred twelve thousand, four hundred eighty".