2880899481600 has 1536 divisors, whose sum is σ = 12638083968000. Its totient is φ = 629082685440.

The previous prime is 2880899481599. The next prime is 2880899481601. The reversal of 2880899481600 is 61849980882.

2880899481600 is a `hidden beast` number, since 2 + 8 + 8 + 0 + 8 + 99 + 481 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2880899481599) and next prime (2880899481601).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880899481601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3561061996 + ... + 3561062804.

It is an arithmetic number, because the mean of its divisors is an integer number (8227919250).

Almost surely, 2^{2880899481600} is an apocalyptic number.

2880899481600 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 2880899481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319041984000).

2880899481600 is an abundant number, since it is smaller than the sum of its proper divisors (9757184486400).

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

2880899481600 is an equidigital number, since it uses as much as digits as its factorization.

2880899481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 2880899481600 in words is "two trillion, eight hundred eighty billion, eight hundred ninety-nine million, four hundred eighty-one thousand, six hundred".