2880000893952 has 1320 divisors, whose sum is σ = 10878413040000. Its totient is φ = 758292627456.

The previous prime is 2880000893909. The next prime is 2880000893971. The reversal of 2880000893952 is 2593980000882.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 4808014549 + ... + 4808015147.

It is an arithmetic number, because the mean of its divisors is an integer number (8241222000).

Almost surely, 2^{2880000893952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2880000893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439206520000).

2880000893952 is an abundant number, since it is smaller than the sum of its proper divisors (7998412146048).

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

2880000893952 is an equidigital number, since it uses as much as digits as its factorization.

2880000893952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 2880000893952 in words is "two trillion, eight hundred eighty billion, eight hundred ninety-three thousand, nine hundred fifty-two".