2246280960 has 576 divisors, whose sum is σ = 9155026944. Its totient is φ = 455884800.

The previous prime is 2246280937. The next prime is 2246280977. The reversal of 2246280960 is 690826422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20993227 + ... + 20993333.

It is an arithmetic number, because the mean of its divisors is an integer number (15894144).

Almost surely, 2^2246280960 is an apocalyptic number.

2246280960 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 2246280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577513472).

2246280960 is an abundant number, since it is smaller than the sum of its proper divisors (6908745984).

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

2246280960 is a wasteful number, since it uses less digits than its factorization.

2246280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2246280960 is about 47394.9465660633. The cubic root of 2246280960 is about 1309.6483254668.

The spelling of 2246280960 in words is "two billion, two hundred forty-six million, two hundred eighty thousand, nine hundred sixty".