2567626260 has 96 divisors (see below), whose sum is σ = 7325845632. Its totient is φ = 671784960.

The previous prime is 2567626247. The next prime is 2567626261. The reversal of 2567626260 is 626267652.

It is a happy number.

It is a super-2 number, since 2×2567626260² = 13185409222083175200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567626261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1128484 + ... + 1130756.

It is an arithmetic number, because the mean of its divisors is an integer number (76310892).

Almost surely, 2^2567626260 is an apocalyptic number.

2567626260 is a gapful number since it is divisible by the number (20) 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 2567626260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662922816).

2567626260 is an abundant number, since it is smaller than the sum of its proper divisors (4758219372).

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

2567626260 is a wasteful number, since it uses less digits than its factorization.

2567626260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 2567626260 is about 50671.7501177925. The cubic root of 2567626260 is about 1369.3378191207.

The spelling of 2567626260 in words is "two billion, five hundred sixty-seven million, six hundred twenty-six thousand, two hundred sixty".