2613083441696 has 480 divisors, whose sum is σ = 7142025115008. Its totient is φ = 930497863680.

The previous prime is 2613083441677. The next prime is 2613083441767. The reversal of 2613083441696 is 6961443803162.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 390533711 + ... + 390540401.

Almost surely, 2^{2613083441696} is an apocalyptic number.

2613083441696 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 2613083441696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571012557504).

2613083441696 is an abundant number, since it is smaller than the sum of its proper divisors (4528941673312).

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

2613083441696 is a wasteful number, since it uses less digits than its factorization.

2613083441696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6782 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 53.

The spelling of 2613083441696 in words is "two trillion, six hundred thirteen billion, eighty-three million, four hundred forty-one thousand, six hundred ninety-six".