2165972800 has 42 divisors (see below), whose sum is σ = 5329650758. Its totient is φ = 866388480.

The previous prime is 2165972791. The next prime is 2165972819. The reversal of 2165972800 is 82795612.

It can be written as a sum of positive squares in 3 ways, for example, as 584478976 + 1581493824 = 24176^2 + 39768^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 675267 + ... + 678466.

Almost surely, 2^2165972800 is an apocalyptic number.

2165972800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2165972800 is an abundant number, since it is smaller than the sum of its proper divisors (3163677958).

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

2165972800 is a wasteful number, since it uses less digits than its factorization.

2165972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353755 (or 1353740 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 2165972800 is about 46540.0128921340. The cubic root of 2165972800 is about 1293.8511996576.

The spelling of 2165972800 in words is "two billion, one hundred sixty-five million, nine hundred seventy-two thousand, eight hundred".