2416138752 has 160 divisors (see below), whose sum is σ = 6630807744. Its totient is φ = 781516800.

The previous prime is 2416138723. The next prime is 2416138757. The reversal of 2416138752 is 2578316142.

It is a super-2 number, since 2×2416138752² = 11675452937832235008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2416138752.

It is not an unprimeable number, because it can be changed into a prime (2416138757) 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, 10025352 + ... + 10025592.

Almost surely, 2^2416138752 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 2416138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315403872).

2416138752 is an abundant number, since it is smaller than the sum of its proper divisors (4214668992).

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

2416138752 is a wasteful number, since it uses less digits than its factorization.

2416138752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 2416138752 is about 49154.2343242167. The cubic root of 2416138752 is about 1341.8602573183.

The spelling of 2416138752 in words is "two billion, four hundred sixteen million, one hundred thirty-eight thousand, seven hundred fifty-two".