2260563760 has 320 divisors, whose sum is σ = 6949555200. Its totient is φ = 663883776.

The previous prime is 2260563751. The next prime is 2260563769. The reversal of 2260563760 is 673650622.

It is an interprime number because it is at equal distance from previous prime (2260563751) and next prime (2260563769).

It is a super-2 number, since 2×2260563760² = 10220297026050675200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2260563769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8160742 + ... + 8161018.

It is an arithmetic number, because the mean of its divisors is an integer number (21717360).

Almost surely, 2^2260563760 is an apocalyptic number.

2260563760 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 2260563760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474777600).

2260563760 is an abundant number, since it is smaller than the sum of its proper divisors (4688991440).

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

2260563760 is a wasteful number, since it uses less digits than its factorization.

2260563760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 2260563760 is about 47545.3863166554. The cubic root of 2260563760 is about 1312.4182281330.

The spelling of 2260563760 in words is "two billion, two hundred sixty million, five hundred sixty-three thousand, seven hundred sixty".