2052160 has 84 divisors (see below), whose sum is σ = 5472684. Its totient is φ = 732160.

The previous prime is 2052157. The next prime is 2052163. The reversal of 2052160 is 612502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2052157) and next prime (2052163).

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 937024 = 1056^2 + 968^2 .

It is a super-2 number, since 2×2052160² = 8422721331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38694 + ... + 38746.

It is an arithmetic number, because the mean of its divisors is an integer number (65151).

2^2052160 is an apocalyptic number.

2052160 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 2052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736342).

2052160 is an abundant number, since it is smaller than the sum of its proper divisors (3420524).

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

2052160 is a wasteful number, since it uses less digits than its factorization.

2052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2052160 is about 1432.5362124568. The cubic root of 2052160 is about 127.0780102282.

Adding to 2052160 its reverse (612502), we get a palindrome (2664662).

The spelling of 2052160 in words is "two million, fifty-two thousand, one hundred sixty".