2260409760 has 384 divisors, whose sum is σ = 9575677440. Its totient is φ = 486162432.

The previous prime is 2260409759. The next prime is 2260409771. The reversal of 2260409760 is 679040622.

It is a happy number.

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

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, 511882 + ... + 516278.

It is an arithmetic number, because the mean of its divisors is an integer number (24936660).

Almost surely, 2^2260409760 is an apocalyptic number.

2260409760 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 2260409760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787838720).

2260409760 is an abundant number, since it is smaller than the sum of its proper divisors (7315267680).

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

2260409760 is a wasteful number, since it uses less digits than its factorization.

2260409760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2260409760 is about 47543.7667838803. The cubic root of 2260409760 is about 1312.3884248010.

The spelling of 2260409760 in words is "two billion, two hundred sixty million, four hundred nine thousand, seven hundred sixty".