2295965268864 has 48 divisors (see below), whose sum is σ = 6606879227520. Its totient is φ = 765321755904.

The previous prime is 2295965268851. The next prime is 2295965268991. The reversal of 2295965268864 is 4688625695922.

2295965268864 is a `hidden beast` number, since 2 + 2 + 9 + 5 + 96 + 526 + 8 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2295965268792 and 2295965268801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 996511552 + ... + 996513855.

It is an arithmetic number, because the mean of its divisors is an integer number (137643317240).

Almost surely, 2^{2295965268864} is an apocalyptic number.

2295965268864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2295965268864 is an abundant number, since it is smaller than the sum of its proper divisors (4310913958656).

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

2295965268864 is a wasteful number, since it uses less digits than its factorization.

2295965268864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993025427 (or 1993025412 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 72.

The spelling of 2295965268864 in words is "two trillion, two hundred ninety-five billion, nine hundred sixty-five million, two hundred sixty-eight thousand, eight hundred sixty-four".