2882952 has 48 divisors (see below), whose sum is σ = 8102640. Its totient is φ = 960336.

The previous prime is 2882923. The next prime is 2882953. The reversal of 2882952 is 2592882.

It is a super-2 number, since 2×2882952² = 16622824468608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2882953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1203 + ... + 2685.

It is an arithmetic number, because the mean of its divisors is an integer number (168805).

2^2882952 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 2882952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051320).

2882952 is an abundant number, since it is smaller than the sum of its proper divisors (5219688).

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

2882952 is a wasteful number, since it uses less digits than its factorization.

2882952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1488 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2882952 is about 1697.9257934315. The cubic root of 2882952 is about 142.3243264555.

It can be divided in two parts, 288 and 2952, that added together give a triangular number (3240 = T₈₀).

The spelling of 2882952 in words is "two million, eight hundred eighty-two thousand, nine hundred fifty-two".