2613261504 has 112 divisors (see below), whose sum is σ = 7972397568. Its totient is φ = 739995648.

The previous prime is 2613261487. The next prime is 2613261509. The reversal of 2613261504 is 4051623162.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2613261509) 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, 143269 + ... + 160475.

Almost surely, 2^2613261504 is an apocalyptic number.

2613261504 is a gapful number since it is divisible by the number (24) 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 2613261504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986198784).

2613261504 is an abundant number, since it is smaller than the sum of its proper divisors (5359136064).

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

2613261504 is a wasteful number, since it uses less digits than its factorization.

2613261504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17342 (or 17332 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2613261504 is about 51120.0694835209. The cubic root of 2613261504 is about 1377.4027856643.

Adding to 2613261504 its reverse (4051623162), we get a palindrome (6664884666).

The spelling of 2613261504 in words is "two billion, six hundred thirteen million, two hundred sixty-one thousand, five hundred four".