2888964 has 36 divisors (see below), whose sum is σ = 7865676. Its totient is φ = 888768.

The previous prime is 2888953. The next prime is 2888971. The reversal of 2888964 is 4698882.

2888964 = T₃₀₇ + T₃₀₈ + ... + T₃₅₈.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 2722500 = 408^2 + 1650^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2888964² = 16692225986592, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 2619 + ... + 3554.

It is an arithmetic number, because the mean of its divisors is an integer number (218491).

2^2888964 is an apocalyptic number.

It is an amenable number.

2888964 is an abundant number, since it is smaller than the sum of its proper divisors (4976712).

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

2888964 is a wasteful number, since it uses less digits than its factorization.

2888964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6196 (or 6191 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2888964 is about 1699.6952668052. The cubic root of 2888964 is about 142.4231903695.

The spelling of 2888964 in words is "two million, eight hundred eighty-eight thousand, nine hundred sixty-four".