2071266800 has 60 divisors (see below), whose sum is σ = 5012153160. Its totient is φ = 822524160.

The previous prime is 2071266763. The next prime is 2071266811. The reversal of 2071266800 is 86621702.

2071266800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 36974 + ... + 74226.

It is an arithmetic number, because the mean of its divisors is an integer number (83535886).

Almost surely, 2^2071266800 is an apocalyptic number.

2071266800 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 2071266800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506076580).

2071266800 is an abundant number, since it is smaller than the sum of its proper divisors (2940886360).

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

2071266800 is a wasteful number, since it uses less digits than its factorization.

2071266800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37410 (or 37399 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2071266800 is about 45511.1722547332. The cubic root of 2071266800 is about 1274.7118251704.

The spelling of 2071266800 in words is "two billion, seventy-one million, two hundred sixty-six thousand, eight hundred".