2562425413632 has 336 divisors, whose sum is σ = 8521538549472. Its totient is φ = 726757539840.

The previous prime is 2562425413571. The next prime is 2562425413637. The reversal of 2562425413632 is 2363145242652.

2562425413632 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 4 + 2 + 5 + 4 + 1 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2562425413637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70687032 + ... + 70723272.

Almost surely, 2^{2562425413632} 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 2562425413632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260769274736).

2562425413632 is an abundant number, since it is smaller than the sum of its proper divisors (5959113135840).

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

2562425413632 is a wasteful number, since it uses less digits than its factorization.

2562425413632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36417 (or 36390 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 2562425413632 in words is "two trillion, five hundred sixty-two billion, four hundred twenty-five million, four hundred thirteen thousand, six hundred thirty-two".