2882792 has 64 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 1177600.

The previous prime is 2882777. The next prime is 2882801. The reversal of 2882792 is 2972882.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61313 + ... + 61359.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

2^2882792 is an apocalyptic number.

2882792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2882792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2882792 is an abundant number, since it is smaller than the sum of its proper divisors (3649048).

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

2882792 is a wasteful number, since it uses less digits than its factorization.

2882792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 118 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 2882792 is about 1697.8786764666. The cubic root of 2882792 is about 142.3216934699.

The spelling of 2882792 in words is "two million, eight hundred eighty-two thousand, seven hundred ninety-two".