2164792 has 64 divisors (see below), whose sum is σ = 5068800. Its totient is φ = 846720.

The previous prime is 2164787. The next prime is 2164801. The reversal of 2164792 is 2974612.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

Its product of digits (6048) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50323 + ... + 50365.

It is an arithmetic number, because the mean of its divisors is an integer number (79200).

2^2164792 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 2164792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534400).

2164792 is an abundant number, since it is smaller than the sum of its proper divisors (2904008).

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

2164792 is a wasteful number, since it uses less digits than its factorization.

2164792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 2164792 is about 1471.3232139812. The cubic root of 2164792 is about 129.3616038624.

The spelling of 2164792 in words is "two million, one hundred sixty-four thousand, seven hundred ninety-two".