2087872200 has 180 divisors, whose sum is σ = 7271744865. Its totient is φ = 555215040.

The previous prime is 2087872183. The next prime is 2087872229. The reversal of 2087872200 is 22787802.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2087872200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2046114756 + 41757444 = 45234^2 + 6462^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=32310.

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 44 ways as a sum of consecutive naturals, for example, 5815621 + ... + 5815979.

Almost surely, 2^2087872200 is an apocalyptic number.

2087872200 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 2087872200

2087872200 is an abundant number, since it is smaller than the sum of its proper divisors (5183872665).

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

2087872200 is an equidigital number, since it uses as much as digits as its factorization.

2087872200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 2087872200 is about 45693.2402002747. The cubic root of 2087872200 is about 1278.1092282493.

Multiplying 2087872200 by its product of nonzero digits (25088), we get a square (52380537753600 = 7237440²).

The spelling of 2087872200 in words is "two billion, eighty-seven million, eight hundred seventy-two thousand, two hundred".