2384880 has 80 divisors (see below), whose sum is σ = 7797120. Its totient is φ = 601344.

The previous prime is 2384869. The next prime is 2384881. The reversal of 2384880 is 884832.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2384880² = 11375305228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2384881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4299 + ... + 4821.

It is an arithmetic number, because the mean of its divisors is an integer number (97464).

2^2384880 is an apocalyptic number.

2384880 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 2384880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898560).

2384880 is an abundant number, since it is smaller than the sum of its proper divisors (5412240).

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

2384880 is a wasteful number, since it uses less digits than its factorization.

2384880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2384880 is about 1544.3056692248. The cubic root of 2384880 is about 133.6048356623.

The spelling of 2384880 in words is "two million, three hundred eighty-four thousand, eight hundred eighty".