2404435968 has 384 divisors, whose sum is σ = 8019648000. Its totient is φ = 705576960.

The previous prime is 2404435951. The next prime is 2404435993. The reversal of 2404435968 is 8695344042.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35887071 + ... + 35887137.

It is an arithmetic number, because the mean of its divisors is an integer number (20884500).

Almost surely, 2^2404435968 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 2404435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824000).

2404435968 is an abundant number, since it is smaller than the sum of its proper divisors (5615212032).

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

2404435968 is a wasteful number, since it uses less digits than its factorization.

2404435968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2404435968 is about 49035.0483633900. The cubic root of 2404435968 is about 1339.6902766758.

The spelling of 2404435968 in words is "two billion, four hundred four million, four hundred thirty-five thousand, nine hundred sixty-eight".