2268140253768 has 160 divisors (see below), whose sum is σ = 6376234871160. Its totient is φ = 753274183680.

The previous prime is 2268140253721. The next prime is 2268140253823. The reversal of 2268140253768 is 8673520418622.

2268140253768 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 1 + 40 + 2 + 537 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1947079762884 + 321060490884 = 1395378^2 + 566622^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 202272130 + ... + 202283342.

Almost surely, 2^{2268140253768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268140253768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188117435580).

2268140253768 is an abundant number, since it is smaller than the sum of its proper divisors (4108094617392).

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

2268140253768 is a wasteful number, since it uses less digits than its factorization.

2268140253768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12349 (or 12336 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2268140253768 in words is "two trillion, two hundred sixty-eight billion, one hundred forty million, two hundred fifty-three thousand, seven hundred sixty-eight".