2613288960 has 448 divisors, whose sum is σ = 9908438400. Its totient is φ = 651165696.

The previous prime is 2613288949. The next prime is 2613288961. The reversal of 2613288960 is 698823162.

2613288960 is a `hidden beast` number, since 2 + 613 + 28 + 8 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2613288961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18800571 + ... + 18800709.

It is an arithmetic number, because the mean of its divisors is an integer number (22117050).

Almost surely, 2^2613288960 is an apocalyptic number.

2613288960 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 2613288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954219200).

2613288960 is an abundant number, since it is smaller than the sum of its proper divisors (7295149440).

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

2613288960 is a wasteful number, since it uses less digits than its factorization.

2613288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2613288960 is about 51120.3380270514. The cubic root of 2613288960 is about 1377.4076095008.

The spelling of 2613288960 in words is "two billion, six hundred thirteen million, two hundred eighty-eight thousand, nine hundred sixty".