2613288640 has 56 divisors (see below), whose sum is σ = 6287121792. Its totient is φ = 1034526720.

The previous prime is 2613288619. The next prime is 2613288647. The reversal of 2613288640 is 468823162.

2613288640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2613288593 and 2613288602.

It is not an unprimeable number, because it can be changed into a prime (2613288647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11056 + ... + 73135.

It is an arithmetic number, because the mean of its divisors is an integer number (112270032).

Almost surely, 2^2613288640 is an apocalyptic number.

2613288640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2613288640 is an abundant number, since it is smaller than the sum of its proper divisors (3673833152).

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

2613288640 is an equidigital number, since it uses as much as digits as its factorization.

2613288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84305 (or 84295 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 2613288640 is about 51120.3348971816. The cubic root of 2613288640 is about 1377.4075532791.

The spelling of 2613288640 in words is "two billion, six hundred thirteen million, two hundred eighty-eight thousand, six hundred forty".