2288135640960 has 640 divisors, whose sum is σ = 8859359124000. Its totient is φ = 559428747264.

The previous prime is 2288135640911. The next prime is 2288135640961. The reversal of 2288135640960 is 690465318822.

2288135640960 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 13 + 564 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2288135640960² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2288135640897 and 2288135640906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288135640961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 100402687 + ... + 100425473.

Almost surely, 2^{2288135640960} is an apocalyptic number.

2288135640960 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 2288135640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429679562000).

2288135640960 is an abundant number, since it is smaller than the sum of its proper divisors (6571223483040).

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

2288135640960 is a wasteful number, since it uses less digits than its factorization.

2288135640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22980 (or 22959 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2288135640960 in words is "two trillion, two hundred eighty-eight billion, one hundred thirty-five million, six hundred forty thousand, nine hundred sixty".