2625252880 has 120 divisors (see below), whose sum is σ = 6523332480. Its totient is φ = 982333440.

The previous prime is 2625252841. The next prime is 2625252907. The reversal of 2625252880 is 882525262.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6265311 + ... + 6265729.

It is an arithmetic number, because the mean of its divisors is an integer number (54361104).

Almost surely, 2^2625252880 is an apocalyptic number.

2625252880 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 2625252880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261666240).

2625252880 is an abundant number, since it is smaller than the sum of its proper divisors (3898079600).

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

2625252880 is a wasteful number, since it uses less digits than its factorization.

2625252880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 2625252880 is about 51237.2216264700. The cubic root of 2625252880 is about 1379.5063837044.

The spelling of 2625252880 in words is "two billion, six hundred twenty-five million, two hundred fifty-two thousand, eight hundred eighty".