2328000 has 112 divisors (see below), whose sum is σ = 7766304. Its totient is φ = 614400.

The previous prime is 2327993. The next prime is 2328047. The reversal of 2328000 is 8232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23952 + ... + 24048.

It is an arithmetic number, because the mean of its divisors is an integer number (69342).

2^2328000 is an apocalyptic number.

2328000 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 2328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883152).

2328000 is an abundant number, since it is smaller than the sum of its proper divisors (5438304).

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

2328000 is an equidigital number, since it uses as much as digits as its factorization.

2328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2328000 is about 1525.7784898209. The cubic root of 2328000 is about 132.5341077495.

The spelling of 2328000 in words is "two million, three hundred twenty-eight thousand".