2295040567200 has 576 divisors, whose sum is σ = 8098761646080. Its totient is φ = 562609152000.

The previous prime is 2295040567147. The next prime is 2295040567271. The reversal of 2295040567200 is 27650405922.

It is a super-2 number, since 2×2295040567200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357090387 + ... + 357096813.

It is an arithmetic number, because the mean of its divisors is an integer number (14060350080).

Almost surely, 2^{2295040567200} is an apocalyptic number.

2295040567200 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 2295040567200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049380823040).

2295040567200 is an abundant number, since it is smaller than the sum of its proper divisors (5803721078880).

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

2295040567200 is a wasteful number, since it uses less digits than its factorization.

2295040567200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6701 (or 6688 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 2295040567200 in words is "two trillion, two hundred ninety-five billion, forty million, five hundred sixty-seven thousand, two hundred".