2624978016 has 120 divisors (see below), whose sum is σ = 7741613880. Its totient is φ = 872543232.

The previous prime is 2624978009. The next prime is 2624978033. The reversal of 2624978016 is 6108794262.

It is a happy number.

2624978016 is a `hidden beast` number, since 2 + 624 + 9 + 7 + 8 + 0 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1084840 + ... + 1087256.

It is an arithmetic number, because the mean of its divisors is an integer number (64513449).

Almost surely, 2^2624978016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2624978016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870806940).

2624978016 is an abundant number, since it is smaller than the sum of its proper divisors (5116635864).

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

2624978016 is a wasteful number, since it uses less digits than its factorization.

2624978016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2624978016 is about 51234.5392874768. The cubic root of 2624978016 is about 1379.4582372472.

The spelling of 2624978016 in words is "two billion, six hundred twenty-four million, nine hundred seventy-eight thousand, sixteen".