2088601200 has 300 divisors, whose sum is σ = 8567584080. Its totient is φ = 477342720.

The previous prime is 2088601171. The next prime is 2088601231. The reversal of 2088601200 is 21068802.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-3 number, since 3×2088601200³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 222196 + ... + 231404.

Almost surely, 2^2088601200 is an apocalyptic number.

2088601200 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 2088601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283792040).

2088601200 is an abundant number, since it is smaller than the sum of its proper divisors (6478982880).

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

2088601200 is a wasteful number, since it uses less digits than its factorization.

2088601200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9246 (or 9226 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2088601200 is about 45701.2166140027. The cubic root of 2088601200 is about 1278.2579655150.

The spelling of 2088601200 in words is "two billion, eighty-eight million, six hundred one thousand, two hundred".