2516892 has 72 divisors (see below), whose sum is σ = 7168896. Its totient is φ = 673056.

The previous prime is 2516887. The next prime is 2516893. The reversal of 2516892 is 2986152.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (8640) is a multiple of the sum of its prime factors (135).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516893) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30283 + ... + 30365.

It is an arithmetic number, because the mean of its divisors is an integer number (99568).

2^2516892 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 2516892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584448).

2516892 is an abundant number, since it is smaller than the sum of its proper divisors (4652004).

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

2516892 is a wasteful number, since it uses less digits than its factorization.

2516892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 2516892 is about 1586.4715566313. The cubic root of 2516892 is about 136.0258745464.

The spelling of 2516892 in words is "two million, five hundred sixteen thousand, eight hundred ninety-two".