2071159200 has 576 divisors, whose sum is σ = 8549452800. Its totient is φ = 479001600.

The previous prime is 2071159183. The next prime is 2071159213. The reversal of 2071159200 is 29511702.

2071159200 is a `hidden beast` number, since 2 + 0 + 71 + 1 + 592 + 0 + 0 = 666.

2071159200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 5464611 + ... + 5464989.

It is an arithmetic number, because the mean of its divisors is an integer number (14842800).

Almost surely, 2^2071159200 is an apocalyptic number.

2071159200 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 2071159200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274726400).

2071159200 is an abundant number, since it is smaller than the sum of its proper divisors (6478293600).

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

2071159200 is a wasteful number, since it uses less digits than its factorization.

2071159200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 2071159200 is about 45509.9901120622. The cubic root of 2071159200 is about 1274.6897515023.

The spelling of 2071159200 in words is "two billion, seventy-one million, one hundred fifty-nine thousand, two hundred".