2516112 has 60 divisors (see below), whose sum is σ = 7152444. Its totient is φ = 825600.

The previous prime is 2516089. The next prime is 2516123. The reversal of 2516112 is 2116152.

2516112 is a `hidden beast` number, since 2 + 51 + 611 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2359296 + 156816 = 1536^2 + 396^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14458 + ... + 14630.

2^2516112 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 2516112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576222).

2516112 is an abundant number, since it is smaller than the sum of its proper divisors (4636332).

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

2516112 is a wasteful number, since it uses less digits than its factorization.

2516112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 279 counting only the distinct ones).

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

The square root of 2516112 is about 1586.2257090339. The cubic root of 2516112 is about 136.0118213484.

It can be divided in two parts, 2516 and 112, that added together give a triangular number (2628 = T₇₂).

The spelling of 2516112 in words is "two million, five hundred sixteen thousand, one hundred twelve".