2625665200 has 120 divisors (see below), whose sum is σ = 6509583360. Its totient is φ = 1017273600.

The previous prime is 2625665179. The next prime is 2625665201. The reversal of 2625665200 is 25665262.

It is not an unprimeable number, because it can be changed into a prime (2625665201) 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, 1674817 + ... + 1676383.

It is an arithmetic number, because the mean of its divisors is an integer number (54246528).

Almost surely, 2^2625665200 is an apocalyptic number.

2625665200 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 2625665200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254791680).

2625665200 is an abundant number, since it is smaller than the sum of its proper divisors (3883918160).

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

2625665200 is a wasteful number, since it uses less digits than its factorization.

2625665200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 2625665200 is about 51241.2451058715. The cubic root of 2625665200 is about 1379.5786012929.

The spelling of 2625665200 in words is "two billion, six hundred twenty-five million, six hundred sixty-five thousand, two hundred".