2613745680 has 160 divisors (see below), whose sum is σ = 9972528384. Its totient is φ = 551467008.

The previous prime is 2613745679. The next prime is 2613745723. The reversal of 2613745680 is 865473162.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37999 + ... + 81678.

Almost surely, 2^2613745680 is an apocalyptic number.

2613745680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2613745680 is an abundant number, since it is smaller than the sum of its proper divisors (7358782704).

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

2613745680 is a wasteful number, since it uses less digits than its factorization.

2613745680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119713 (or 119707 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2613745680 is about 51124.8049385032. The cubic root of 2613745680 is about 1377.4878472099.

It can be divided in two parts, 26137 and 45680, that added together give a palindrome (71817).

The spelling of 2613745680 in words is "two billion, six hundred thirteen million, seven hundred forty-five thousand, six hundred eighty".