2891952 has 120 divisors (see below), whose sum is σ = 9800960. Its totient is φ = 777600.

The previous prime is 2891929. The next prime is 2891963. The reversal of 2891952 is 2591982.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19077 + ... + 19227.

2^2891952 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 2891952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900480).

2891952 is an abundant number, since it is smaller than the sum of its proper divisors (6909008).

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

2891952 is a wasteful number, since it uses less digits than its factorization.

2891952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 182 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 2891952 is about 1700.5740207354. The cubic root of 2891952 is about 142.4722753080.

The spelling of 2891952 in words is "two million, eight hundred ninety-one thousand, nine hundred fifty-two".