2391984 has 120 divisors (see below), whose sum is σ = 8057520. Its totient is φ = 677376.

The previous prime is 2391979. The next prime is 2391997. The reversal of 2391984 is 4891932.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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

Its product of digits (15552) is a multiple of the sum of its prime factors (144).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21112 + ... + 21224.

It is an arithmetic number, because the mean of its divisors is an integer number (67146).

2^2391984 is an apocalyptic number.

2391984 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 2391984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028760).

2391984 is an abundant number, since it is smaller than the sum of its proper divisors (5665536).

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

2391984 is a wasteful number, since it uses less digits than its factorization.

2391984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2391984 is about 1546.6040217198. The cubic root of 2391984 is about 133.7373633503.

It can be divided in two parts, 2391 and 984, that added together give a cube (3375 = 15³).

The spelling of 2391984 in words is "two million, three hundred ninety-one thousand, nine hundred eighty-four".