2290800960 has 448 divisors, whose sum is σ = 9436608000. Its totient is φ = 522934272.

The previous prime is 2290800937. The next prime is 2290800961. The reversal of 2290800960 is 690080922.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290800961) 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, 2963134 + ... + 2963906.

Almost surely, 2^2290800960 is an apocalyptic number.

2290800960 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 2290800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718304000).

2290800960 is an abundant number, since it is smaller than the sum of its proper divisors (7145807040).

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

2290800960 is an equidigital number, since it uses as much as digits as its factorization.

2290800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2290800960 is about 47862.3125224847. The cubic root of 2290800960 is about 1318.2439458716.

The spelling of 2290800960 in words is "two billion, two hundred ninety million, eight hundred thousand, nine hundred sixty".