2071987200 has 594 divisors, whose sum is σ = 8211462714. Its totient is φ = 497418240.

The previous prime is 2071987171. The next prime is 2071987231. The reversal of 2071987200 is 27891702.

It can be written as a sum of positive squares in 3 ways, for example, as 312016896 + 1759970304 = 17664^2 + 41952^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 90086389 + ... + 90086411.

Almost surely, 2^2071987200 is an apocalyptic number.

2071987200 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 2071987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105731357).

2071987200 is an abundant number, since it is smaller than the sum of its proper divisors (6139475514).

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

2071987200 is a wasteful number, since it uses less digits than its factorization.

2071987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 2071987200 is about 45519.0861068190. The cubic root of 2071987200 is about 1274.8595923815.

The spelling of 2071987200 in words is "two billion, seventy-one million, nine hundred eighty-seven thousand, two hundred".