2262960000 has 480 divisors, whose sum is σ = 9320454000. Its totient is φ = 516096000.

The previous prime is 2262959989. The next prime is 2262960017. The reversal of 2262960000 is 692622.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 5039776 + ... + 5040224.

Almost surely, 2^2262960000 is an apocalyptic number.

2262960000 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 2262960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660227000).

2262960000 is an abundant number, since it is smaller than the sum of its proper divisors (7057494000).

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

2262960000 is an equidigital number, since it uses as much as digits as its factorization.

2262960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2262960000 is about 47570.5791429955. The cubic root of 2262960000 is about 1312.8817936910.

The spelling of 2262960000 in words is "two billion, two hundred sixty-two million, nine hundred sixty thousand".