2260318111128 has 1152 divisors, whose sum is σ = 8452237248000. Its totient is φ = 532011110400.

The previous prime is 2260318111111. The next prime is 2260318111171. The reversal of 2260318111128 is 8211118130622.

It is a happy number.

2260318111128 is a `hidden beast` number, since 2 + 2 + 603 + 1 + 8 + 11 + 11 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2260318111092 and 2260318111101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4603498963 + ... + 4603499453.

It is an arithmetic number, because the mean of its divisors is an integer number (7337011500).

Almost surely, 2^{2260318111128} is an apocalyptic number.

2260318111128 is a gapful number since it is divisible by the number (28) 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 2260318111128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226118624000).

2260318111128 is an abundant number, since it is smaller than the sum of its proper divisors (6191919136872).

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

2260318111128 is a wasteful number, since it uses less digits than its factorization.

2260318111128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 2260318111128 in words is "two trillion, two hundred sixty billion, three hundred eighteen million, one hundred eleven thousand, one hundred twenty-eight".