2400001984 has 56 divisors (see below), whose sum is σ = 4877409600. Its totient is φ = 1171193856.

The previous prime is 2400001973. The next prime is 2400001991. The reversal of 2400001984 is 4891000042.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1349704 + ... + 1351480.

It is an arithmetic number, because the mean of its divisors is an integer number (87096600).

Almost surely, 2^2400001984 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 2400001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438704800).

2400001984 is an abundant number, since it is smaller than the sum of its proper divisors (2477407616).

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

2400001984 is a wasteful number, since it uses less digits than its factorization.

2400001984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 2400001984 is about 48989.8151047746. The cubic root of 2400001984 is about 1338.8662690962.

The spelling of 2400001984 in words is "two billion, four hundred million, one thousand, nine hundred eighty-four".