2292192 has 96 divisors (see below), whose sum is σ = 7660800. Its totient is φ = 653184.

The previous prime is 2292181. The next prime is 2292193. The reversal of 2292192 is 2912922.

2292192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2292193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5859 + ... + 6237.

It is an arithmetic number, because the mean of its divisors is an integer number (79800).

2^2292192 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 2292192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830400).

2292192 is an abundant number, since it is smaller than the sum of its proper divisors (5368608).

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

2292192 is a wasteful number, since it uses less digits than its factorization.

2292192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 391 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2292192 is about 1513.9986789955. The cubic root of 2292192 is about 131.8510717051.

The spelling of 2292192 in words is "two million, two hundred ninety-two thousand, one hundred ninety-two".