2882990880 has 768 divisors, whose sum is σ = 12854661120. Its totient is φ = 593464320.

The previous prime is 2882990879. The next prime is 2882990881. The reversal of 2882990880 is 880992882.

It is an interprime number because it is at equal distance from previous prime (2882990879) and next prime (2882990881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2882990881) 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 127 ways as a sum of consecutive naturals, for example, 26943787 + ... + 26943893.

It is an arithmetic number, because the mean of its divisors is an integer number (16737840).

Almost surely, 2^2882990880 is an apocalyptic number.

2882990880 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 2882990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427330560).

2882990880 is an abundant number, since it is smaller than the sum of its proper divisors (9971670240).

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

2882990880 is a wasteful number, since it uses less digits than its factorization.

2882990880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 2882990880 is about 53693.4901082059. The cubic root of 2882990880 is about 1423.2496625629.

The spelling of 2882990880 in words is "two billion, eight hundred eighty-two million, nine hundred ninety thousand, eight hundred eighty".