2812992 has 168 divisors, whose sum is σ = 9729216. Its totient is φ = 709632.

The previous prime is 2812967. The next prime is 2812993. The reversal of 2812992 is 2992182.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

Its product of digits (5184) is a multiple of the sum of its prime divisors (48).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2812993) 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, 122293 + ... + 122315.

It is an arithmetic number, because the mean of its divisors is an integer number (57912).

2^2812992 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 2812992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864608).

2812992 is an abundant number, since it is smaller than the sum of its proper divisors (6916224).

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

2812992 is a wasteful number, since it uses less digits than its factorization.

2812992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 48 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 2812992 is about 1677.1976627697. The cubic root of 2812992 is about 141.1636347807.

The spelling of 2812992 in words is "two million, eight hundred twelve thousand, nine hundred ninety-two".