2071672200 has 336 divisors, whose sum is σ = 7784280420. Its totient is φ = 509483520.

The previous prime is 2071672199. The next prime is 2071672271. The reversal of 2071672200 is 22761702.

It can be written as a sum of positive squares in 6 ways, for example, as 1025408484 + 1046263716 = 32022^2 + 32346^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1894854 + ... + 1895946.

Almost surely, 2^2071672200 is an apocalyptic number.

2071672200 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 2071672200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892140210).

2071672200 is an abundant number, since it is smaller than the sum of its proper divisors (5712608220).

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

2071672200 is a wasteful number, since it uses less digits than its factorization.

2071672200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2071672200 is about 45515.6258882595. The cubic root of 2071672200 is about 1274.7949843370.

The spelling of 2071672200 in words is "two billion, seventy-one million, six hundred seventy-two thousand, two hundred".