2612160 has 84 divisors (see below), whose sum is σ = 8994648. Its totient is φ = 695808.

The previous prime is 2612143. The next prime is 2612167. The reversal of 2612160 is 612162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612167) 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, 2427 + ... + 3333.

2^2612160 is an apocalyptic number.

2612160 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 2612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497324).

2612160 is an abundant number, since it is smaller than the sum of its proper divisors (6382488).

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

2612160 is a wasteful number, since it uses less digits than its factorization.

2612160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2612160 is about 1616.2178071040. The cubic root of 2612160 is about 137.7209230867.

It can be divided in two parts, 2612 and 160, that added together give a palindrome (2772).

The spelling of 2612160 in words is "two million, six hundred twelve thousand, one hundred sixty".