2168971200 has 252 divisors, whose sum is σ = 8410471368. Its totient is φ = 525772800.

The previous prime is 2168971199. The next prime is 2168971223. The reversal of 2168971200 is 21798612.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151554 + ... + 165246.

Almost surely, 2^2168971200 is an apocalyptic number.

2168971200 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 2168971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205235684).

2168971200 is an abundant number, since it is smaller than the sum of its proper divisors (6241500168).

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

2168971200 is a wasteful number, since it uses less digits than its factorization.

2168971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13732 (or 13714 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2168971200 is about 46572.2148925730. The cubic root of 2168971200 is about 1294.4479591773.

The spelling of 2168971200 in words is "two billion, one hundred sixty-eight million, nine hundred seventy-one thousand, two hundred".