2241812128 has 48 divisors (see below), whose sum is σ = 4682603520. Its totient is φ = 1053513216.

The previous prime is 2241812101. The next prime is 2241812137. The reversal of 2241812128 is 8212181422.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2241812128.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62700 + ... + 91732.

It is an arithmetic number, because the mean of its divisors is an integer number (97554240).

Almost surely, 2^2241812128 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 2241812128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341301760).

2241812128 is an abundant number, since it is smaller than the sum of its proper divisors (2440791392).

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

2241812128 is a wasteful number, since it uses less digits than its factorization.

2241812128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29189 (or 29181 counting only the distinct ones).

The product of its digits is 4096, while the sum is 31.

The square root of 2241812128 is about 47347.7784906536. The cubic root of 2241812128 is about 1308.7792617613.

The spelling of 2241812128 in words is "two billion, two hundred forty-one million, eight hundred twelve thousand, one hundred twenty-eight".