2125116 has 60 divisors (see below), whose sum is σ = 6355888. Its totient is φ = 606528.

The previous prime is 2125111. The next prime is 2125147. The reversal of 2125116 is 6115212.

It is a super-2 number, since 2×2125116² = 9032236026912, which contains 22 as substring.

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 (2125111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1800 + ... + 2736.

2^2125116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177944).

2125116 is an abundant number, since it is smaller than the sum of its proper divisors (4230772).

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

2125116 is a wasteful number, since it uses less digits than its factorization.

2125116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 949 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 2125116 is about 1457.7777608401. Note that the first 4 decimals coincide. The cubic root of 2125116 is about 128.5664188524.

The spelling of 2125116 in words is "two million, one hundred twenty-five thousand, one hundred sixteen".