2404812564 has 432 divisors, whose sum is σ = 8328413184. Its totient is φ = 592764480.

The previous prime is 2404812563. The next prime is 2404812583. The reversal of 2404812564 is 4652184042.

2404812564 is a `hidden beast` number, since 2 + 40 + 48 + 12 + 564 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404812563) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18935469 + ... + 18935595.

Almost surely, 2^2404812564 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 2404812564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164206592).

2404812564 is an abundant number, since it is smaller than the sum of its proper divisors (5923600620).

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

2404812564 is a wasteful number, since it uses less digits than its factorization.

2404812564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

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

The square root of 2404812564 is about 49038.8882826681. Note that the first 3 decimals coincide. The cubic root of 2404812564 is about 1339.7602162469.

The spelling of 2404812564 in words is "two billion, four hundred four million, eight hundred twelve thousand, five hundred sixty-four".