2293309440 has 168 divisors, whose sum is σ = 7950932028. Its totient is φ = 611450880.

The previous prime is 2293309423. The next prime is 2293309483. The reversal of 2293309440 is 449033922.

It can be written as a sum of positive squares in 2 ways, for example, as 2001309696 + 291999744 = 44736^2 + 17088^2 .

It is a super-2 number, since 2×2293309440² = 10518536375186227200, 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 = 2293309395 and 2293309404.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 365530 + ... + 371750.

Almost surely, 2^2293309440 is an apocalyptic number.

2293309440 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 2293309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975466014).

2293309440 is an abundant number, since it is smaller than the sum of its proper divisors (5657622588).

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

2293309440 is an equidigital number, since it uses as much as digits as its factorization.

2293309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6258 (or 6231 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2293309440 is about 47888.5105218360. The cubic root of 2293309440 is about 1318.7249395446.

The spelling of 2293309440 in words is "two billion, two hundred ninety-three million, three hundred nine thousand, four hundred forty".