2513601360 has 120 divisors (see below), whose sum is σ = 8621233920. Its totient is φ = 656023296.

The previous prime is 2513601329. The next prime is 2513601379. The reversal of 2513601360 is 631063152.

2513601360 is a `hidden beast` number, since 2 + 51 + 3 + 601 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3300 + ... + 70979.

It is an arithmetic number, because the mean of its divisors is an integer number (71843616).

Almost surely, 2^2513601360 is an apocalyptic number.

2513601360 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 2513601360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310616960).

2513601360 is an abundant number, since it is smaller than the sum of its proper divisors (6107632560).

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

2513601360 is a wasteful number, since it uses less digits than its factorization.

2513601360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74345 (or 74336 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2513601360 is about 50135.8291045436. The cubic root of 2513601360 is about 1359.6656761833.

The spelling of 2513601360 in words is "two billion, five hundred thirteen million, six hundred one thousand, three hundred sixty".