2404464084 has 108 divisors (see below), whose sum is σ = 6790993300. Its totient is φ = 716601600.

The previous prime is 2404464077. The next prime is 2404464109. The reversal of 2404464084 is 4804644042.

2404464084 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 4 + 640 + 8 + 4 = 666.

2404464084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 913731984 + 1490732100 = 30228^2 + 38610^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 261192 + ... + 270240.

Almost surely, 2^2404464084 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 2404464084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395496650).

2404464084 is an abundant number, since it is smaller than the sum of its proper divisors (4386529216).

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

2404464084 is a wasteful number, since it uses less digits than its factorization.

2404464084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9142 (or 9126 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 2404464084 is about 49035.3350554475. The cubic root of 2404464084 is about 1339.6954984943.

The spelling of 2404464084 in words is "two billion, four hundred four million, four hundred sixty-four thousand, eighty-four".