2870882784 has 288 divisors, whose sum is σ = 10521342720. Its totient is φ = 745493760.

The previous prime is 2870882783. The next prime is 2870882789. The reversal of 2870882784 is 4872880782.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2870882784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2870882783) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729847 + ... + 733769.

It is an arithmetic number, because the mean of its divisors is an integer number (36532440).

Almost surely, 2^2870882784 is an apocalyptic number.

2870882784 is a gapful number since it is divisible by the number (24) 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 2870882784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260671360).

2870882784 is an abundant number, since it is smaller than the sum of its proper divisors (7650459936).

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

2870882784 is a wasteful number, since it uses less digits than its factorization.

2870882784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The square root of 2870882784 is about 53580.6194813013. The cubic root of 2870882784 is about 1421.2543937876.

The spelling of 2870882784 in words is "two billion, eight hundred seventy million, eight hundred eighty-two thousand, seven hundred eighty-four".