2087273600 has 288 divisors, whose sum is σ = 5717623260. Its totient is φ = 752025600.

The previous prime is 2087273569. The next prime is 2087273611. The reversal of 2087273600 is 63727802.

It can be written as a sum of positive squares in 18 ways, for example, as 13017664 + 2074255936 = 3608^2 + 45544^2 .

It is a super-2 number, since 2×2087273600² = 8713422162513920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34217570 + ... + 34217630.

Almost surely, 2^2087273600 is an apocalyptic number.

2087273600 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 2087273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858811630).

2087273600 is an abundant number, since it is smaller than the sum of its proper divisors (3630349660).

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

2087273600 is a wasteful number, since it uses less digits than its factorization.

2087273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 2087273600 is about 45686.6895276950. The cubic root of 2087273600 is about 1277.9870704991.

The spelling of 2087273600 in words is "two billion, eighty-seven million, two hundred seventy-three thousand, six hundred".