2153880 has 96 divisors (see below), whose sum is σ = 7263360. Its totient is φ = 552960.

The previous prime is 2153873. The next prime is 2153887. The reversal of 2153880 is 883512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2153873) and next prime (2153887).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153887) 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, 11064 + ... + 11256.

It is an arithmetic number, because the mean of its divisors is an integer number (75660).

2^2153880 is an apocalyptic number.

2153880 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 2153880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631680).

2153880 is an abundant number, since it is smaller than the sum of its proper divisors (5109480).

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

2153880 is a wasteful number, since it uses less digits than its factorization.

2153880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2153880 is about 1467.6103024986. The cubic root of 2153880 is about 129.1438812855.

It can be divided in two parts, 215 and 3880, that added together give a triangular number (4095 = T₉₀).

The spelling of 2153880 in words is "two million, one hundred fifty-three thousand, eight hundred eighty".