2158800 has 120 divisors (see below), whose sum is σ = 7934016. Its totient is φ = 491520.

The previous prime is 2158781. The next prime is 2158801. The reversal of 2158800 is 88512.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2158801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8272 + ... + 8528.

2^2158800 is an apocalyptic number.

2158800 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 2158800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967008).

2158800 is an abundant number, since it is smaller than the sum of its proper divisors (5775216).

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

2158800 is a wasteful number, since it uses less digits than its factorization.

2158800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 2158800 is about 1469.2855406625. The cubic root of 2158800 is about 129.2421388043.

The spelling of 2158800 in words is "two million, one hundred fifty-eight thousand, eight hundred".