2162952 has 48 divisors (see below), whose sum is σ = 6392880. Its totient is φ = 655200.

The previous prime is 2162947. The next prime is 2162957. The reversal of 2162952 is 2592612.

It is an interprime number because it is at equal distance from previous prime (2162947) and next prime (2162957).

It is a super-2 number, since 2×2162952² = 9356722708608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2162957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 574 + ... + 2157.

It is an arithmetic number, because the mean of its divisors is an integer number (133185).

2^2162952 is an apocalyptic number.

2162952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2162952 is an abundant number, since it is smaller than the sum of its proper divisors (4229928).

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

2162952 is a wasteful number, since it uses less digits than its factorization.

2162952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2747 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2162952 is about 1470.6977935660. The cubic root of 2162952 is about 129.3249424771.

The spelling of 2162952 in words is "two million, one hundred sixty-two thousand, nine hundred fifty-two".