2245968 has 50 divisors (see below), whose sum is σ = 6504234. Its totient is φ = 748224.

The previous prime is 2245961. The next prime is 2245979. The reversal of 2245968 is 8695422.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1871424 + 374544 = 1368^2 + 612^2 .

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

It is a d-powerful number, because it can be written as 2 + 2²¹ + 4⁸ + 5⁵ + 9³ + 6⁶ + 8⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 430 + ... + 2162.

2^2245968 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 2245968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252117).

2245968 is an abundant number, since it is smaller than the sum of its proper divisors (4258266).

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

2245968 is a wasteful number, since it uses less digits than its factorization.

2245968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1738 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2245968 is about 1498.6553973479. The cubic root of 2245968 is about 130.9587500992.

The spelling of 2245968 in words is "two million, two hundred forty-five thousand, nine hundred sixty-eight".