2624282496 has 128 divisors (see below), whose sum is σ = 8449516800. Its totient is φ = 795225600.

The previous prime is 2624282491. The next prime is 2624282519. The reversal of 2624282496 is 6942824262.

2624282496 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2624282491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3501 + ... + 72531.

It is an arithmetic number, because the mean of its divisors is an integer number (66011850).

Almost surely, 2^2624282496 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 2624282496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224758400).

2624282496 is an abundant number, since it is smaller than the sum of its proper divisors (5825234304).

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

2624282496 is a wasteful number, since it uses less digits than its factorization.

2624282496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69065 (or 69047 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 2624282496 is about 51227.7512291922. The cubic root of 2624282496 is about 1379.3363917132.

The spelling of 2624282496 in words is "two billion, six hundred twenty-four million, two hundred eighty-two thousand, four hundred ninety-six".