2364904080 has 640 divisors, whose sum is σ = 10370764800. Its totient is φ = 481075200.

The previous prime is 2364904057. The next prime is 2364904081. The reversal of 2364904080 is 804094632.

It is a happy number.

2364904080 is a `hidden beast` number, since 2 + 3 + 649 + 0 + 4 + 0 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2364904081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9812760 + ... + 9813000.

It is an arithmetic number, because the mean of its divisors is an integer number (16204320).

Almost surely, 2^2364904080 is an apocalyptic number.

2364904080 is a gapful number since it is divisible by the number (20) 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 2364904080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185382400).

2364904080 is an abundant number, since it is smaller than the sum of its proper divisors (8005860720).

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

2364904080 is a wasteful number, since it uses less digits than its factorization.

2364904080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2364904080 is about 48630.2794563223. The cubic root of 2364904080 is about 1332.3076150177.

The spelling of 2364904080 in words is "two billion, three hundred sixty-four million, nine hundred four thousand, eighty".