2624493312 has 504 divisors, whose sum is σ = 9383186400. Its totient is φ = 731566080.

The previous prime is 2624493307. The next prime is 2624493317. The reversal of 2624493312 is 2133944262.

It is an interprime number because it is at equal distance from previous prime (2624493307) and next prime (2624493317).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (62208) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2624493317) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 64012012 + ... + 64012052.

Almost surely, 2^2624493312 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 2624493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691593200).

2624493312 is an abundant number, since it is smaller than the sum of its proper divisors (6758693088).

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

2624493312 is an frugal number, since it uses more digits than its factorization.

2624493312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 53 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 2624493312 is about 51229.8088225986. The cubic root of 2624493312 is about 1379.3733260492.

The spelling of 2624493312 in words is "two billion, six hundred twenty-four million, four hundred ninety-three thousand, three hundred twelve".