2613927680 has 144 divisors (see below), whose sum is σ = 7706403264. Its totient is φ = 827228160.

The previous prime is 2613927649. The next prime is 2613927689. The reversal of 2613927680 is 867293162.

2613927680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2613927689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105260 + ... + 127700.

Almost surely, 2^2613927680 is an apocalyptic number.

2613927680 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 2613927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853201632).

2613927680 is an abundant number, since it is smaller than the sum of its proper divisors (5092475584).

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

2613927680 is a wasteful number, since it uses less digits than its factorization.

2613927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22482 (or 22468 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 2613927680 is about 51126.5848654103. The cubic root of 2613927680 is about 1377.5198188195.

The spelling of 2613927680 in words is "two billion, six hundred thirteen million, nine hundred twenty-seven thousand, six hundred eighty".