2820829680 has 240 divisors, whose sum is σ = 10243228320. Its totient is φ = 693245952.

The previous prime is 2820829673. The next prime is 2820829709. The reversal of 2820829680 is 869280282.

2820829680 is a `hidden beast` number, since 282 + 0 + 8 + 296 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503374 + ... + 508946.

It is an arithmetic number, because the mean of its divisors is an integer number (42680118).

Almost surely, 2^2820829680 is an apocalyptic number.

2820829680 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 2820829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121614160).

2820829680 is an abundant number, since it is smaller than the sum of its proper divisors (7422398640).

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

2820829680 is a wasteful number, since it uses less digits than its factorization.

2820829680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5648 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2820829680 is about 53111.4835040408. The cubic root of 2820829680 is about 1412.9461861364.

The spelling of 2820829680 in words is "two billion, eight hundred twenty million, eight hundred twenty-nine thousand, six hundred eighty".