2820365280 has 144 divisors (see below), whose sum is σ = 10190731824. Its totient is φ = 707850240.

The previous prime is 2820365279. The next prime is 2820365281. The reversal of 2820365280 is 825630282.

It is an interprime number because it is at equal distance from previous prime (2820365279) and next prime (2820365281).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820365281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33126 + ... + 82085.

It is an arithmetic number, because the mean of its divisors is an integer number (70768971).

Almost surely, 2^2820365280 is an apocalyptic number.

2820365280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2820365280 is an abundant number, since it is smaller than the sum of its proper divisors (7370366544).

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

2820365280 is a wasteful number, since it uses less digits than its factorization.

2820365280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115249 (or 115238 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2820365280 is about 53107.1113882124. Note that the first 3 decimals coincide. The cubic root of 2820365280 is about 1412.8686429670.

The spelling of 2820365280 in words is "two billion, eight hundred twenty million, three hundred sixty-five thousand, two hundred eighty".