2245117644 has 144 divisors (see below), whose sum is σ = 7096078080. Its totient is φ = 581454720.

The previous prime is 2245117643. The next prime is 2245117663. The reversal of 2245117644 is 4467115422.

2245117644 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 1 + 1 + 7 + 644 = 666.

It is a super-2 number, since 2×2245117644² = 10081106470800221472, which contains 22 as substring.

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 = 2245117599 and 2245117608.

It is not an unprimeable number, because it can be changed into a prime (2245117643) 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, 1160502 + ... + 1162434.

It is an arithmetic number, because the mean of its divisors is an integer number (49278320).

Almost surely, 2^2245117644 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 2245117644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548039040).

2245117644 is an abundant number, since it is smaller than the sum of its proper divisors (4850960436).

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

2245117644 is a wasteful number, since it uses less digits than its factorization.

2245117644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2375 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2245117644 is about 47382.6724024722. The cubic root of 2245117644 is about 1309.4222038671.

The spelling of 2245117644 in words is "two billion, two hundred forty-five million, one hundred seventeen thousand, six hundred forty-four".