2625799680 has 640 divisors, whose sum is σ = 10952156160. Its totient is φ = 591224832.

The previous prime is 2625799679. The next prime is 2625799699. The reversal of 2625799680 is 869975262.

2625799680 is a `hidden beast` number, since 2 + 6 + 2 + 579 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39191007 + ... + 39191073.

It is an arithmetic number, because the mean of its divisors is an integer number (17112744).

Almost surely, 2^2625799680 is an apocalyptic number.

2625799680 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 2625799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5476078080).

2625799680 is an abundant number, since it is smaller than the sum of its proper divisors (8326356480).

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

2625799680 is an frugal number, since it uses more digits than its factorization.

2625799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 2625799680 is about 51242.5573132333. The cubic root of 2625799680 is about 1379.6021537452.

The spelling of 2625799680 in words is "two billion, six hundred twenty-five million, seven hundred ninety-nine thousand, six hundred eighty".