2464724052 has 240 divisors, whose sum is σ = 7632486400. Its totient is φ = 678984768.

The previous prime is 2464724011. The next prime is 2464724057. The reversal of 2464724052 is 2504274642.

2464724052 is a `hidden beast` number, since 2 + 4 + 647 + 2 + 4 + 0 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2464723998 and 2464724016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2464724057) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12385449 + ... + 12385647.

Almost surely, 2^2464724052 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 2464724052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816243200).

2464724052 is an abundant number, since it is smaller than the sum of its proper divisors (5167762348).

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

2464724052 is a wasteful number, since it uses less digits than its factorization.

2464724052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 2464724052 is about 49645.9872698691. The cubic root of 2464724052 is about 1350.7949688152.

Adding to 2464724052 its reverse (2504274642), we get a palindrome (4968998694).

The spelling of 2464724052 in words is "two billion, four hundred sixty-four million, seven hundred twenty-four thousand, fifty-two".