2244461184 has 384 divisors, whose sum is σ = 8021116800. Its totient is φ = 605159424.

The previous prime is 2244461137. The next prime is 2244461249. The reversal of 2244461184 is 4811644422.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) 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 (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8733184 + ... + 8733440.

It is an arithmetic number, because the mean of its divisors is an integer number (20888325).

Almost surely, 2^2244461184 is an apocalyptic number.

2244461184 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 2244461184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010558400).

2244461184 is an abundant number, since it is smaller than the sum of its proper divisors (5776655616).

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

2244461184 is a wasteful number, since it uses less digits than its factorization.

2244461184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 288 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 2244461184 is about 47375.7446801631. The cubic root of 2244461184 is about 1309.2945688194.

The spelling of 2244461184 in words is "two billion, two hundred forty-four million, four hundred sixty-one thousand, one hundred eighty-four".