2337984 has 140 divisors (see below), whose sum is σ = 7744968. Its totient is φ = 691200.

The previous prime is 2337983. The next prime is 2338003. The reversal of 2337984 is 4897332.

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

It is a d-powerful number, because it can be written as 2⁵ + 3⁷ + 3¹¹ + 7⁴ + 9⁵ + 8⁷ + 4² .

It is not an unprimeable number, because it can be changed into a prime (2337983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57004 + ... + 57044.

2^2337984 is an apocalyptic number.

2337984 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 2337984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872484).

2337984 is an abundant number, since it is smaller than the sum of its proper divisors (5406984).

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

2337984 is a wasteful number, since it uses less digits than its factorization.

2337984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 57 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2337984 is about 1529.0467618749. The cubic root of 2337984 is about 132.7233021097.

It can be divided in two parts, 2337 and 984, that added together give a triangular number (3321 = T₈₁).

The spelling of 2337984 in words is "two million, three hundred thirty-seven thousand, nine hundred eighty-four".