2399879664 has 840 divisors, whose sum is σ = 9733908240. Its totient is φ = 564350976.

The previous prime is 2399879653. The next prime is 2399879743. The reversal of 2399879664 is 4669789932.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 126309447 + ... + 126309465.

It is an arithmetic number, because the mean of its divisors is an integer number (11587986).

Almost surely, 2^2399879664 is an apocalyptic number.

2399879664 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 2399879664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866954120).

2399879664 is an abundant number, since it is smaller than the sum of its proper divisors (7334028576).

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

2399879664 is a wasteful number, since it uses less digits than its factorization.

2399879664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The square root of 2399879664 is about 48988.5666661110. The cubic root of 2399879664 is about 1338.8435228783.

The spelling of 2399879664 in words is "two billion, three hundred ninety-nine million, eight hundred seventy-nine thousand, six hundred sixty-four".