2823115680 has 1152 divisors, whose sum is σ = 13314502656. Its totient is φ = 547430400.

The previous prime is 2823115667. The next prime is 2823115697. The reversal of 2823115680 is 865113282.

It is a happy number.

2823115680 is a `hidden beast` number, since 2 + 82 + 3 + 11 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68856460 + ... + 68856500.

It is an arithmetic number, because the mean of its divisors is an integer number (11557728).

Almost surely, 2^2823115680 is an apocalyptic number.

2823115680 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 2823115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657251328).

2823115680 is an abundant number, since it is smaller than the sum of its proper divisors (10491386976).

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

2823115680 is a wasteful number, since it uses less digits than its factorization.

2823115680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2823115680 is about 53132.9999153069. Note that the first 4 decimals coincide. The cubic root of 2823115680 is about 1413.3277668781.

The spelling of 2823115680 in words is "two billion, eight hundred twenty-three million, one hundred fifteen thousand, six hundred eighty".