2244093840 has 240 divisors, whose sum is σ = 8043235200. Its totient is φ = 558747648.

The previous prime is 2244093833. The next prime is 2244093869. The reversal of 2244093840 is 483904422.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2244093795 and 2244093804.

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, 1700701 + ... + 1702019.

It is an arithmetic number, because the mean of its divisors is an integer number (33513480).

Almost surely, 2^2244093840 is an apocalyptic number.

2244093840 is a gapful number since it is divisible by the number (20) 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 2244093840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021617600).

2244093840 is an abundant number, since it is smaller than the sum of its proper divisors (5799141360).

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

2244093840 is a wasteful number, since it uses less digits than its factorization.

2244093840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2244093840 is about 47371.8676009296. The cubic root of 2244093840 is about 1309.2231355285.

The spelling of 2244093840 in words is "two billion, two hundred forty-four million, ninety-three thousand, eight hundred forty".