2295133682688 has 792 divisors, whose sum is σ = 8476563199104. Its totient is φ = 591420211200.

The previous prime is 2295133682659. The next prime is 2295133682731. The reversal of 2295133682688 is 8862863315922.

2295133682688 is a `hidden beast` number, since 2 + 2 + 9 + 5 + 1 + 3 + 368 + 268 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 650730781 + ... + 650734307.

It is an arithmetic number, because the mean of its divisors is an integer number (10702731312).

Almost surely, 2^{2295133682688} is an apocalyptic number.

2295133682688 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 2295133682688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238281599552).

2295133682688 is an abundant number, since it is smaller than the sum of its proper divisors (6181429516416).

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

2295133682688 is a wasteful number, since it uses less digits than its factorization.

2295133682688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3681 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 2295133682688 in words is "two trillion, two hundred ninety-five billion, one hundred thirty-three million, six hundred eighty-two thousand, six hundred eighty-eight".