2269344000 has 576 divisors, whose sum is σ = 9428170752. Its totient is φ = 470016000.

The previous prime is 2269343981. The next prime is 2269344001. The reversal of 2269344000 is 4439622.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2269344001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7391847 + ... + 7392153.

It is an arithmetic number, because the mean of its divisors is an integer number (16368352).

Almost surely, 2^2269344000 is an apocalyptic number.

2269344000 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 2269344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4714085376).

2269344000 is an abundant number, since it is smaller than the sum of its proper divisors (7158826752).

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

2269344000 is a wasteful number, since it uses less digits than its factorization.

2269344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2269344000 is about 47637.6321829706. The cubic root of 2269344000 is about 1314.1152177788.

The spelling of 2269344000 in words is "two billion, two hundred sixty-nine million, three hundred forty-four thousand".