2952288 has 120 divisors (see below), whose sum is σ = 9330552. Its totient is φ = 912384.

The previous prime is 2952283. The next prime is 2952293. The reversal of 2952288 is 8822592.

It is an interprime number because it is at equal distance from previous prime (2952283) and next prime (2952293).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2952281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44031 + ... + 44097.

2^2952288 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 2952288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665276).

2952288 is an abundant number, since it is smaller than the sum of its proper divisors (6378264).

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

2952288 is a wasteful number, since it uses less digits than its factorization.

2952288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

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

The square root of 2952288 is about 1718.2223371846. Note that the first 3 decimals coincide. The cubic root of 2952288 is about 143.4562829433.

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

The spelling of 2952288 in words is "two million, nine hundred fifty-two thousand, two hundred eighty-eight".