2880226080 has 192 divisors, whose sum is σ = 10180235520. Its totient is φ = 760485888.

The previous prime is 2880226067. The next prime is 2880226091. The reversal of 2880226080 is 806220882.

2880226080 is a `hidden beast` number, since 28 + 8 + 0 + 22 + 608 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441724 + ... + 448196.

It is an arithmetic number, because the mean of its divisors is an integer number (53022060).

Almost surely, 2^2880226080 is an apocalyptic number.

2880226080 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 2880226080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090117760).

2880226080 is an abundant number, since it is smaller than the sum of its proper divisors (7300009440).

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

2880226080 is a wasteful number, since it uses less digits than its factorization.

2880226080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6600 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2880226080 is about 53667.7377946938. The cubic root of 2880226080 is about 1422.7945496385.

The spelling of 2880226080 in words is "two billion, eight hundred eighty million, two hundred twenty-six thousand, eighty".