2153120 has 24 divisors (see below), whose sum is σ = 5087124. Its totient is φ = 861184.

The previous prime is 2153113. The next prime is 2153149. The reversal of 2153120 is 213512.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1948816 + 204304 = 1396^2 + 452^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2153095 and 2153104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6569 + ... + 6888.

2^2153120 is an apocalyptic number.

2153120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153120 is an abundant number, since it is smaller than the sum of its proper divisors (2934004).

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

2153120 is a wasteful number, since it uses less digits than its factorization.

2153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13472 (or 13464 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2153120 is about 1467.3513553338. The cubic root of 2153120 is about 129.1286899570.

Adding to 2153120 its reverse (213512), we get a palindrome (2366632).

The spelling of 2153120 in words is "two million, one hundred fifty-three thousand, one hundred twenty".