2880193680 has 320 divisors, whose sum is σ = 12210885120. Its totient is φ = 607647744.

The previous prime is 2880193639. The next prime is 2880193697. The reversal of 2880193680 is 863910882.

2880193680 is a `hidden beast` number, since 288 + 0 + 1 + 9 + 368 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189234 + ... + 203886.

It is an arithmetic number, because the mean of its divisors is an integer number (38159016).

Almost surely, 2^2880193680 is an apocalyptic number.

2880193680 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 2880193680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105442560).

2880193680 is an abundant number, since it is smaller than the sum of its proper divisors (9330691440).

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

2880193680 is a wasteful number, since it uses less digits than its factorization.

2880193680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14695 (or 14683 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2880193680 is about 53667.4359365155. The cubic root of 2880193680 is about 1422.7892145577.

The spelling of 2880193680 in words is "two billion, eight hundred eighty million, one hundred ninety-three thousand, six hundred eighty".