2823365760960 has 224 divisors, whose sum is σ = 9495886796352. Its totient is φ = 708281303040.

The previous prime is 2823365760923. The next prime is 2823365760961. The reversal of 2823365760960 is 690675633282.

2823365760960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2823365760960² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2823365760960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2823365760961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36207774 + ... + 36285666.

Almost surely, 2^{2823365760960} is an apocalyptic number.

2823365760960 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 2823365760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747943398176).

2823365760960 is an abundant number, since it is smaller than the sum of its proper divisors (6672521035392).

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

2823365760960 is a wasteful number, since it uses less digits than its factorization.

2823365760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80151 (or 80141 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 2823365760960 in words is "two trillion, eight hundred twenty-three billion, three hundred sixty-five million, seven hundred sixty thousand, nine hundred sixty".