2164512 has 48 divisors (see below), whose sum is σ = 6495552. Its totient is φ = 618240.

The previous prime is 2164511. The next prime is 2164529. The reversal of 2164512 is 2154612.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2164512² = 9370224396288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2164511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 939 + ... + 2282.

It is an arithmetic number, because the mean of its divisors is an integer number (135324).

2^2164512 is an apocalyptic number.

It is an amenable number.

2164512 is an abundant number, since it is smaller than the sum of its proper divisors (4331040).

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

2164512 is a wasteful number, since it uses less digits than its factorization.

2164512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3233 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 2164512 is about 1471.2280584600. The cubic root of 2164512 is about 129.3560262964.

The spelling of 2164512 in words is "two million, one hundred sixty-four thousand, five hundred twelve".