2404369968 has 320 divisors, whose sum is σ = 8418127872. Its totient is φ = 571069440.

The previous prime is 2404369967. The next prime is 2404369987. The reversal of 2404369968 is 8699634042.

2404369968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2404369968.

It is not an unprimeable number, because it can be changed into a prime (2404369967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7831671 + ... + 7831977.

Almost surely, 2^2404369968 is an apocalyptic number.

2404369968 is a gapful number since it is divisible by the number (28) 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 2404369968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209063936).

2404369968 is an abundant number, since it is smaller than the sum of its proper divisors (6013757904).

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

2404369968 is a wasteful number, since it uses less digits than its factorization.

2404369968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The square root of 2404369968 is about 49034.3753707539. The cubic root of 2404369968 is about 1339.6780187258.

The spelling of 2404369968 in words is "two billion, four hundred four million, three hundred sixty-nine thousand, nine hundred sixty-eight".