2380800 has 132 divisors (see below), whose sum is σ = 8122496. Its totient is φ = 614400.

The previous prime is 2380793. The next prime is 2380801. The reversal of 2380800 is 80832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76785 + ... + 76815.

2^2380800 is an apocalyptic number.

2380800 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 2380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061248).

2380800 is an abundant number, since it is smaller than the sum of its proper divisors (5741696).

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

2380800 is a wasteful number, since it uses less digits than its factorization.

2380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2380800 is about 1542.9841217589. The cubic root of 2380800 is about 133.5286027731.

Subtracting from 2380800 its reverse (80832), we obtain a cube (2299968 = 132³).

The spelling of 2380800 in words is "two million, three hundred eighty thousand, eight hundred".