2072869215200 has 432 divisors, whose sum is σ = 6018496979040. Its totient is φ = 682884464640.

The previous prime is 2072869215161. The next prime is 2072869215239. The reversal of 2072869215200 is 25129682702.

It is an interprime number because it is at equal distance from previous prime (2072869215161) and next prime (2072869215239).

It is a super-2 number, since 2×2072869215200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1097335856 + ... + 1097337744.

It is an arithmetic number, because the mean of its divisors is an integer number (13931705970).

Almost surely, 2^{2072869215200} is an apocalyptic number.

2072869215200 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 2072869215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009248489520).

2072869215200 is an abundant number, since it is smaller than the sum of its proper divisors (3945627763840).

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

2072869215200 is a wasteful number, since it uses less digits than its factorization.

2072869215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 2072869215200 in words is "two trillion, seventy-two billion, eight hundred sixty-nine million, two hundred fifteen thousand, two hundred".