2424236672 has 128 divisors (see below), whose sum is σ = 5870793600. Its totient is φ = 981872640.

The previous prime is 2424236653. The next prime is 2424236681. The reversal of 2424236672 is 2766324242.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528533 + ... + 533099.

It is an arithmetic number, because the mean of its divisors is an integer number (45865575).

Almost surely, 2^2424236672 is an apocalyptic number.

2424236672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424236672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935396800).

2424236672 is an abundant number, since it is smaller than the sum of its proper divisors (3446556928).

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

2424236672 is a wasteful number, since it uses less digits than its factorization.

2424236672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 4622 counting only the distinct ones).

The product of its digits is 193536, while the sum is 38.

The square root of 2424236672 is about 49236.5379774005. The cubic root of 2424236672 is about 1343.3577099199.

The spelling of 2424236672 in words is "two billion, four hundred twenty-four million, two hundred thirty-six thousand, six hundred seventy-two".