2245816944 has 240 divisors, whose sum is σ = 7360417792. Its totient is φ = 626061312.

The previous prime is 2245816921. The next prime is 2245816949. The reversal of 2245816944 is 4496185422.

It is a happy number.

2245816944 is a `hidden beast` number, since 2 + 2 + 4 + 581 + 69 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2245816944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245816949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10070817 + ... + 10071039.

Almost surely, 2^2245816944 is an apocalyptic number.

2245816944 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 2245816944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680208896).

2245816944 is an abundant number, since it is smaller than the sum of its proper divisors (5114600848).

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

2245816944 is a wasteful number, since it uses less digits than its factorization.

2245816944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 435 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2245816944 is about 47390.0511078011. The cubic root of 2245816944 is about 1309.5581408999.

The spelling of 2245816944 in words is "two billion, two hundred forty-five million, eight hundred sixteen thousand, nine hundred forty-four".