2953152 has 56 divisors (see below), whose sum is σ = 8686800. Its totient is φ = 983808.

The previous prime is 2953141. The next prime is 2953163. The reversal of 2953152 is 2513592.

It is an interprime number because it is at equal distance from previous prime (2953141) and next prime (2953163).

It is a super-2 number, since 2×2953152² = 17442213470208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874 + ... + 2582.

2^2953152 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 2953152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343400).

2953152 is an abundant number, since it is smaller than the sum of its proper divisors (5733648).

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

2953152 is a wasteful number, since it uses less digits than its factorization.

2953152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1714 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 2953152 is about 1718.4737414345. The cubic root of 2953152 is about 143.4702759480.

The spelling of 2953152 in words is "two million, nine hundred fifty-three thousand, one hundred fifty-two".