2384640 has 180 divisors, whose sum is σ = 8903664. Its totient is φ = 608256.

The previous prime is 2384623. The next prime is 2384647. The reversal of 2384640 is 464832.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2384647) 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, 103669 + ... + 103691.

2^2384640 is an apocalyptic number.

2384640 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 2384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451832).

2384640 is an abundant number, since it is smaller than the sum of its proper divisors (6519024).

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

2384640 is an equidigital number, since it uses as much as digits as its factorization.

2384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2384640 is about 1544.2279624460. The cubic root of 2384640 is about 133.6003537825.

The spelling of 2384640 in words is "two million, three hundred eighty-four thousand, six hundred forty".