2625107982336 has 1152 divisors, whose sum is σ = 9758014156800. Its totient is φ = 682237624320.

The previous prime is 2625107982331. The next prime is 2625107982349. The reversal of 2625107982336 is 6332897015262.

2625107982336 is a `hidden beast` number, since 2 + 6 + 2 + 510 + 7 + 98 + 2 + 3 + 36 = 666.

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2625107982331) 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, 3467777670 + ... + 3467778426.

It is an arithmetic number, because the mean of its divisors is an integer number (8470498400).

Almost surely, 2^{2625107982336} 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 2625107982336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879007078400).

2625107982336 is an abundant number, since it is smaller than the sum of its proper divisors (7132906174464).

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

2625107982336 is a wasteful number, since it uses less digits than its factorization.

2625107982336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2625107982336 in words is "two trillion, six hundred twenty-five billion, one hundred seven million, nine hundred eighty-two thousand, three hundred thirty-six".