2269442448 has 300 divisors, whose sum is σ = 8231569500. Its totient is φ = 598316544.

The previous prime is 2269442437. The next prime is 2269442459. The reversal of 2269442448 is 8442449622.

It is an interprime number because it is at equal distance from previous prime (2269442437) and next prime (2269442459).

It can be written as a sum of positive squares in 2 ways, for example, as 302342544 + 1967099904 = 17388^2 + 44352^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 824178 + ... + 826926.

It is an arithmetic number, because the mean of its divisors is an integer number (27438565).

Almost surely, 2^2269442448 is an apocalyptic number.

2269442448 is a gapful number since it is divisible by the number (28) 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 2269442448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115784750).

2269442448 is an abundant number, since it is smaller than the sum of its proper divisors (5962127052).

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

2269442448 is a wasteful number, since it uses less digits than its factorization.

2269442448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2774 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 2269442448 is about 47638.6654724920. The cubic root of 2269442448 is about 1314.1342203546.

The spelling of 2269442448 in words is "two billion, two hundred sixty-nine million, four hundred forty-two thousand, four hundred forty-eight".