2624064768 has 576 divisors, whose sum is σ = 9271584000. Its totient is φ = 724598784.

The previous prime is 2624064761. The next prime is 2624064803. The reversal of 2624064768 is 8674604262.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2624064761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49510630 + ... + 49510682.

It is an arithmetic number, because the mean of its divisors is an integer number (16096500).

Almost surely, 2^2624064768 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 2624064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635792000).

2624064768 is an abundant number, since it is smaller than the sum of its proper divisors (6647519232).

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

2624064768 is a wasteful number, since it uses less digits than its factorization.

2624064768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2624064768 is about 51225.6260869499. The cubic root of 2624064768 is about 1379.2982443389.

The spelling of 2624064768 in words is "two billion, six hundred twenty-four million, sixty-four thousand, seven hundred sixty-eight".