2612120 has 64 divisors (see below), whose sum is σ = 7084800. Its totient is φ = 846720.

The previous prime is 2612083. The next prime is 2612123. The reversal of 2612120 is 212162.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2612095 and 2612104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5075 + ... + 5565.

It is an arithmetic number, because the mean of its divisors is an integer number (110700).

2^2612120 is an apocalyptic number.

2612120 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 2612120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542400).

2612120 is an abundant number, since it is smaller than the sum of its proper divisors (4472680).

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

2612120 is a wasteful number, since it uses less digits than its factorization.

2612120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2612120 is about 1616.2054324868. The cubic root of 2612120 is about 137.7202201098.

Adding to 2612120 its reverse (212162), we get a palindrome (2824282).

The spelling of 2612120 in words is "two million, six hundred twelve thousand, one hundred twenty".