2412384 has 48 divisors (see below), whose sum is σ = 6823152. Its totient is φ = 741888.

The previous prime is 2412379. The next prime is 2412391. The reversal of 2412384 is 4832142.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 282 + ... + 2214.

It is an arithmetic number, because the mean of its divisors is an integer number (142149).

2^2412384 is an apocalyptic number.

2412384 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 2412384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411576).

2412384 is an abundant number, since it is smaller than the sum of its proper divisors (4410768).

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

2412384 is a wasteful number, since it uses less digits than its factorization.

2412384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1951 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2412384 is about 1553.1851145308. The cubic root of 2412384 is about 134.1164799927.

The spelling of 2412384 in words is "two million, four hundred twelve thousand, three hundred eighty-four".