2513374560 has 144 divisors (see below), whose sum is σ = 8590340304. Its totient is φ = 669182976.

The previous prime is 2513374559. The next prime is 2513374573. The reversal of 2513374560 is 654733152.

2513374560 is a `hidden beast` number, since 25 + 1 + 3 + 3 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1457859 + ... + 1459581.

It is an arithmetic number, because the mean of its divisors is an integer number (59655141).

Almost surely, 2^2513374560 is an apocalyptic number.

2513374560 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 2513374560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295170152).

2513374560 is an abundant number, since it is smaller than the sum of its proper divisors (6076965744).

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

2513374560 is a wasteful number, since it uses less digits than its factorization.

2513374560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 2513374560 is about 50133.5671980361. The cubic root of 2513374560 is about 1359.6247811478.

The spelling of 2513374560 in words is "two billion, five hundred thirteen million, three hundred seventy-four thousand, five hundred sixty".