2625147216 has 60 divisors (see below), whose sum is σ = 7381670400. Its totient is φ = 870891840.

The previous prime is 2625147209. The next prime is 2625147223. The reversal of 2625147216 is 6127415262.

It is a happy number.

2625147216 is a `hidden beast` number, since 2 + 62 + 514 + 72 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (2625147209) and next prime (2625147223).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12816 + ... + 73583.

It is an arithmetic number, because the mean of its divisors is an integer number (123027840).

Almost surely, 2^2625147216 is an apocalyptic number.

It is an amenable number.

2625147216 is an abundant number, since it is smaller than the sum of its proper divisors (4756523184).

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

2625147216 is a wasteful number, since it uses less digits than its factorization.

2625147216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86624 (or 86615 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2625147216 is about 51236.1904907069. The cubic root of 2625147216 is about 1379.4878755041.

The spelling of 2625147216 in words is "two billion, six hundred twenty-five million, one hundred forty-seven thousand, two hundred sixteen".