2991888 has 60 divisors (see below), whose sum is σ = 8511360. Its totient is φ = 980928.

The previous prime is 2991887. The next prime is 2991889. The reversal of 2991888 is 8881992.

It is an interprime number because it is at equal distance from previous prime (2991887) and next prime (2991889).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2991883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11245 + ... + 11507.

It is an arithmetic number, because the mean of its divisors is an integer number (141856).

2^2991888 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 2991888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255680).

2991888 is an abundant number, since it is smaller than the sum of its proper divisors (5519472).

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

2991888 is a wasteful number, since it uses less digits than its factorization.

2991888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 347 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The square root of 2991888 is about 1729.7074897219. The cubic root of 2991888 is about 144.0948449245.

It can be divided in two parts, 299 and 1888, that added together give a 7-th power (2187 = 3⁷).

The spelling of 2991888 in words is "two million, nine hundred ninety-one thousand, eight hundred eighty-eight".