2880329760 has 576 divisors, whose sum is σ = 12803495040. Its totient is φ = 598026240.

The previous prime is 2880329747. The next prime is 2880329773. The reversal of 2880329760 is 679230882.

It is an interprime number because it is at equal distance from previous prime (2880329747) and next prime (2880329773).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2327862 + ... + 2329098.

It is an arithmetic number, because the mean of its divisors is an integer number (22228290).

Almost surely, 2^2880329760 is an apocalyptic number.

2880329760 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 2880329760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401747520).

2880329760 is an abundant number, since it is smaller than the sum of its proper divisors (9923165280).

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

2880329760 is a wasteful number, since it uses less digits than its factorization.

2880329760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2880329760 is about 53668.7037294548. The cubic root of 2880329760 is about 1422.8116216281.

It can be divided in two parts, 288032 and 9760, that added together give a palindrome (297792).

The spelling of 2880329760 in words is "two billion, eight hundred eighty million, three hundred twenty-nine thousand, seven hundred sixty".