2880081792 has 512 divisors, whose sum is σ = 10575360000. Its totient is φ = 752910336.

The previous prime is 2880081779. The next prime is 2880081797. The reversal of 2880081792 is 2971800882.

It is a happy number.

It is a super-2 number, since 2×2880081792² = 16589742257219862528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880081797) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19329334 + ... + 19329482.

It is an arithmetic number, because the mean of its divisors is an integer number (20655000).

Almost surely, 2^2880081792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2880081792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287680000).

2880081792 is an abundant number, since it is smaller than the sum of its proper divisors (7695278208).

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

2880081792 is a wasteful number, since it uses less digits than its factorization.

2880081792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 2880081792 is about 53666.3935065512. The cubic root of 2880081792 is about 1422.7707904378.

It can be divided in two parts, 28800 and 81792, that added together give a cube (110592 = 48³).

The spelling of 2880081792 in words is "two billion, eight hundred eighty million, eighty-one thousand, seven hundred ninety-two".