2384960 has 56 divisors (see below), whose sum is σ = 5897880. Its totient is φ = 917504.

The previous prime is 2384953. The next prime is 2384971. The reversal of 2384960 is 694832.

It can be written as a sum of positive squares in 4 ways, for example, as 906304 + 1478656 = 952^2 + 1216^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 9152 + ... + 9408.

2^2384960 is an apocalyptic number.

2384960 is a gapful number since it is divisible by the number (20) 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 2384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948940).

2384960 is an abundant number, since it is smaller than the sum of its proper divisors (3512920).

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

2384960 is a wasteful number, since it uses less digits than its factorization.

2384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2384960 is about 1544.3315706156. The cubic root of 2384960 is about 133.6063295554.

The spelling of 2384960 in words is "two million, three hundred eighty-four thousand, nine hundred sixty".