2479624032 has 96 divisors (see below), whose sum is σ = 7072773120. Its totient is φ = 757762560.

The previous prime is 2479624031. The next prime is 2479624039. The reversal of 2479624032 is 2304269742.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2479624032² = 12297070680143874048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2479624031) 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, 34618 + ... + 78470.

It is an arithmetic number, because the mean of its divisors is an integer number (73674720).

Almost surely, 2^2479624032 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 2479624032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536386560).

2479624032 is an abundant number, since it is smaller than the sum of its proper divisors (4593149088).

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

2479624032 is a wasteful number, since it uses less digits than its factorization.

2479624032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43916 (or 43908 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 2479624032 is about 49795.8234393207. The cubic root of 2479624032 is about 1353.5114860608.

It can be divided in two parts, 24796 and 24032, that added together give a triangular number (48828 = T₃₁₂).

The spelling of 2479624032 in words is "two billion, four hundred seventy-nine million, six hundred twenty-four thousand, thirty-two".