2613739520 has 256 divisors, whose sum is σ = 7474135680. Its totient is φ = 858783744.

The previous prime is 2613739519. The next prime is 2613739547. The reversal of 2613739520 is 259373162.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49315814 + ... + 49315866.

Almost surely, 2^2613739520 is an apocalyptic number.

2613739520 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 2613739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3737067840).

2613739520 is an abundant number, since it is smaller than the sum of its proper divisors (4860396160).

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

2613739520 is an frugal number, since it uses more digits than its factorization.

2613739520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 2613739520 is about 51124.7446937391. The cubic root of 2613739520 is about 1377.4867650679.

The spelling of 2613739520 in words is "two billion, six hundred thirteen million, seven hundred thirty-nine thousand, five hundred twenty".