2260282638600 has 384 divisors, whose sum is σ = 9284477184000. Its totient is φ = 494173405440.

The previous prime is 2260282638599. The next prime is 2260282638613. The reversal of 2260282638600 is 68362820622.

2260282638600 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 2 + 8 + 2 + 6 + 38 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 430510 + ... + 2169309.

It is an arithmetic number, because the mean of its divisors is an integer number (24178326000).

Almost surely, 2^{2260282638600} is an apocalyptic number.

2260282638600 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 2260282638600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642238592000).

2260282638600 is an abundant number, since it is smaller than the sum of its proper divisors (7024194545400).

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

2260282638600 is a wasteful number, since it uses less digits than its factorization.

2260282638600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599874 (or 2599859 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2260282638600 in words is "two trillion, two hundred sixty billion, two hundred eighty-two million, six hundred thirty-eight thousand, six hundred".