2242004832 has 120 divisors (see below), whose sum is σ = 6677748000. Its totient is φ = 737807616.

The previous prime is 2242004803. The next prime is 2242004851. The reversal of 2242004832 is 2384002422.

It is a super-2 number, since 2×2242004832² = 10053171333422696448, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2242004796 and 2242004805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 199294 + ... + 210242.

It is an arithmetic number, because the mean of its divisors is an integer number (55647900).

Almost surely, 2^2242004832 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 2242004832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338874000).

2242004832 is an abundant number, since it is smaller than the sum of its proper divisors (4435743168).

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

2242004832 is a wasteful number, since it uses less digits than its factorization.

2242004832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11050 (or 11033 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2242004832 is about 47349.8134315226. The cubic root of 2242004832 is about 1308.8167611529.

It can be divided in two parts, 224 and 2004832, that added together give a square (2005056 = 1416²).

The spelling of 2242004832 in words is "two billion, two hundred forty-two million, four thousand, eight hundred thirty-two".