2613565440 has 480 divisors, whose sum is σ = 9846476640. Its totient is φ = 661782528.

The previous prime is 2613565433. The next prime is 2613565457. The reversal of 2613565440 is 445653162.

2613565440 is a `hidden beast` number, since 2 + 61 + 3 + 56 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 2613565395 and 2613565404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19077052 + ... + 19077188.

It is an arithmetic number, because the mean of its divisors is an integer number (20513493).

Almost surely, 2^2613565440 is an apocalyptic number.

2613565440 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 2613565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4923238320).

2613565440 is an abundant number, since it is smaller than the sum of its proper divisors (7232911200).

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

2613565440 is a wasteful number, since it uses less digits than its factorization.

2613565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2613565440 is about 51123.0421630012. The cubic root of 2613565440 is about 1377.4561833136.

The spelling of 2613565440 in words is "two billion, six hundred thirteen million, five hundred sixty-five thousand, four hundred forty".