2625086100 has 144 divisors (see below), whose sum is σ = 9348096128. Its totient is φ = 553858560.

The previous prime is 2625086099. The next prime is 2625086111. The reversal of 2625086100 is 16805262.

2625086100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20779 + ... + 75378.

Almost surely, 2^2625086100 is an apocalyptic number.

2625086100 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 2625086100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674048064).

2625086100 is an abundant number, since it is smaller than the sum of its proper divisors (6723010028).

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

2625086100 is a wasteful number, since it uses less digits than its factorization.

2625086100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96194 (or 96187 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2625086100 is about 51235.5940728709. The cubic root of 2625086100 is about 1379.4771701445.

The spelling of 2625086100 in words is "two billion, six hundred twenty-five million, eighty-six thousand, one hundred".