2088097200 has 720 divisors, whose sum is σ = 8865432576. Its totient is φ = 445132800.

The previous prime is 2088097171. The next prime is 2088097201. The reversal of 2088097200 is 27908802.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (2088097201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44427577 + ... + 44427623.

Almost surely, 2^2088097200 is an apocalyptic number.

2088097200 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 2088097200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432716288).

2088097200 is an abundant number, since it is smaller than the sum of its proper divisors (6777335376).

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

2088097200 is a wasteful number, since it uses less digits than its factorization.

2088097200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2088097200 is about 45695.7022049120. The cubic root of 2088097200 is about 1278.1551385062.

The spelling of 2088097200 in words is "two billion, eighty-eight million, ninety-seven thousand, two hundred".