2788992 has 80 divisors (see below), whose sum is σ = 8330850. Its totient is φ = 926208.

The previous prime is 2788987. The next prime is 2788997. The reversal of 2788992 is 2998872.

It is an interprime number because it is at equal distance from previous prime (2788987) and next prime (2788997).

It can be written as a sum of positive squares in only one way, i.e., 2742336 + 46656 = 1656^2 + 216^2 .

It is not an unprimeable number, because it can be changed into a prime (2788997) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10234 + ... + 10502.

2^2788992 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 2788992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4165425).

2788992 is an abundant number, since it is smaller than the sum of its proper divisors (5541858).

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

2788992 is an equidigital number, since it uses as much as digits as its factorization.

2788992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 274 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 2788992 is about 1670.0275446830. The cubic root of 2788992 is about 140.7610257141.

The spelling of 2788992 in words is "two million, seven hundred eighty-eight thousand, nine hundred ninety-two".