2625644465262 has 256 divisors, whose sum is σ = 7407944570880. Its totient is φ = 670783389696.

The previous prime is 2625644465173. The next prime is 2625644465287.

2625644465262 is a `hidden beast` number, since 2 + 62 + 5 + 64 + 4 + 465 + 2 + 62 = 666.

2625644465262 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2625644465199 and 2625644465208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41240878 + ... + 41304494.

It is an arithmetic number, because the mean of its divisors is an integer number (28937283480).

Almost surely, 2^{2625644465262} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2625644465262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703972285440).

2625644465262 is an abundant number, since it is smaller than the sum of its proper divisors (4782300105618).

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

2625644465262 is a wasteful number, since it uses less digits than its factorization.

2625644465262 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63912 (or 63906 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 2625644465262 in words is "two trillion, six hundred twenty-five billion, six hundred forty-four million, four hundred sixty-five thousand, two hundred sixty-two".