2880828283680 has 480 divisors, whose sum is σ = 10532091089520. Its totient is φ = 741050449920.

The previous prime is 2880828283643. The next prime is 2880828283681. The reversal of 2880828283680 is 863828280882.

It can be written as a sum of positive squares in 8 ways, for example, as 1983099024 + 2878845184656 = 44532^2 + 1696716^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (2880828283681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47260582 + ... + 47321498.

Almost surely, 2^{2880828283680} is an apocalyptic number.

2880828283680 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 2880828283680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266045544760).

2880828283680 is an abundant number, since it is smaller than the sum of its proper divisors (7651262805840).

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

2880828283680 is a wasteful number, since it uses less digits than its factorization.

2880828283680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61074 (or 61057 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 63.

The spelling of 2880828283680 in words is "two trillion, eight hundred eighty billion, eight hundred twenty-eight million, two hundred eighty-three thousand, six hundred eighty".