2512116 has 36 divisors (see below), whose sum is σ = 6557824. Its totient is φ = 810000.

The previous prime is 2512109. The next prime is 2512117. The reversal of 2512116 is 6112152.

2512116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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 (2512117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10 + ... + 2241.

2^2512116 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 2512116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278912).

2512116 is an abundant number, since it is smaller than the sum of its proper divisors (4045708).

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

2512116 is a wasteful number, since it uses less digits than its factorization.

2512116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2287 counting only the distinct ones).

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

The square root of 2512116 is about 1584.9656147690. The cubic root of 2512116 is about 135.9397801441.

Adding to 2512116 its reverse (6112152), we get a palindrome (8624268).

It can be divided in two parts, 2512 and 116, that added together give a triangular number (2628 = T₇₂).

The spelling of 2512116 in words is "two million, five hundred twelve thousand, one hundred sixteen".