2405804064 has 96 divisors (see below), whose sum is σ = 6441120000. Its totient is φ = 786100224.

The previous prime is 2405804039. The next prime is 2405804081. The reversal of 2405804064 is 4604085042.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1128952 + ... + 1131080.

It is an arithmetic number, because the mean of its divisors is an integer number (67095000).

Almost surely, 2^2405804064 is an apocalyptic number.

2405804064 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 2405804064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220560000).

2405804064 is an abundant number, since it is smaller than the sum of its proper divisors (4035315936).

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

2405804064 is a wasteful number, since it uses less digits than its factorization.

2405804064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2405804064 is about 49048.9965646597. The cubic root of 2405804064 is about 1339.9443178763.

The spelling of 2405804064 in words is "two billion, four hundred five million, eight hundred four thousand, sixty-four".