2416045824 has 108 divisors (see below), whose sum is σ = 7002731736. Its totient is φ = 801110016.

The previous prime is 2416045759. The next prime is 2416045837. The reversal of 2416045824 is 4285406142.

2416045824 is a `hidden beast` number, since 2 + 41 + 604 + 5 + 8 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 451227 + ... + 456549.

Almost surely, 2^2416045824 is an apocalyptic number.

2416045824 is a gapful number since it is divisible by the number (24) 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 2416045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501365868).

2416045824 is an abundant number, since it is smaller than the sum of its proper divisors (4586685912).

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

2416045824 is a wasteful number, since it uses less digits than its factorization.

2416045824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2416045824 is about 49153.2890455969. The cubic root of 2416045824 is about 1341.8430538377.

The spelling of 2416045824 in words is "two billion, four hundred sixteen million, forty-five thousand, eight hundred twenty-four".