2153580 has 96 divisors (see below), whose sum is σ = 7112448. Its totient is φ = 480000.

The previous prime is 2153563. The next prime is 2153621. The reversal of 2153580 is 853512.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2153580.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8455 + ... + 8705.

It is an arithmetic number, because the mean of its divisors is an integer number (74088).

2^2153580 is an apocalyptic number.

2153580 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 2153580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556224).

2153580 is an abundant number, since it is smaller than the sum of its proper divisors (4958868).

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

2153580 is a wasteful number, since it uses less digits than its factorization.

2153580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2153580 is about 1467.5080919709. The cubic root of 2153580 is about 129.1378851354.

The spelling of 2153580 in words is "two million, one hundred fifty-three thousand, five hundred eighty".