2292144 has 60 divisors (see below), whose sum is σ = 6390216. Its totient is φ = 705536.

The previous prime is 2292133. The next prime is 2292163. The reversal of 2292144 is 4412922.

2292144 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 43222 + ... + 43274.

2^2292144 is an apocalyptic number.

2292144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2292144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195108).

2292144 is an abundant number, since it is smaller than the sum of its proper divisors (4098072).

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

2292144 is a wasteful number, since it uses less digits than its factorization.

2292144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 75 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 2292144 is about 1513.9828268511. The cubic root of 2292144 is about 131.8501513494.

The spelling of 2292144 in words is "two million, two hundred ninety-two thousand, one hundred forty-four".