2613641056 has 96 divisors (see below), whose sum is σ = 5700119040. Its totient is φ = 1172261376.

The previous prime is 2613641029. The next prime is 2613641089. The reversal of 2613641056 is 6501463162.

It is a super-2 number, since 2×2613641056² = 13662239139217590272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2201295 + ... + 2202481.

It is an arithmetic number, because the mean of its divisors is an integer number (59376240).

Almost surely, 2^2613641056 is an apocalyptic number.

2613641056 is a gapful number since it is divisible by the number (26) 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 2613641056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850059520).

2613641056 is an abundant number, since it is smaller than the sum of its proper divisors (3086477984).

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

2613641056 is a wasteful number, since it uses less digits than its factorization.

2613641056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 2613641056 is about 51123.7817067556. The cubic root of 2613641056 is about 1377.4694674300.

The spelling of 2613641056 in words is "two billion, six hundred thirteen million, six hundred forty-one thousand, fifty-six".