2596005844992 has 1152 divisors, whose sum is σ = 9512019578880. Its totient is φ = 665038356480.

The previous prime is 2596005844987. The next prime is 2596005844997. The reversal of 2596005844992 is 2994485006952.

2596005844992 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 0 + 0 + 584 + 49 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2596005844987) and next prime (2596005844997).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2596005844997) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4963682043 + ... + 4963682565.

It is an arithmetic number, because the mean of its divisors is an integer number (8256961440).

Almost surely, 2^{2596005844992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2596005844992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756009789440).

2596005844992 is an abundant number, since it is smaller than the sum of its proper divisors (6916013733888).

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

2596005844992 is a wasteful number, since it uses less digits than its factorization.

2596005844992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 2596005844992 in words is "two trillion, five hundred ninety-six billion, five million, eight hundred forty-four thousand, nine hundred ninety-two".