2089775520 has 288 divisors, whose sum is σ = 8318419200. Its totient is φ = 477550080.

The previous prime is 2089775509. The next prime is 2089775521. The reversal of 2089775520 is 255779802.

It is a happy number.

2089775520 is a `hidden beast` number, since 2 + 0 + 8 + 97 + 7 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2089775521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491805 + ... + 496035.

It is an arithmetic number, because the mean of its divisors is an integer number (28883400).

Almost surely, 2^2089775520 is an apocalyptic number.

2089775520 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 2089775520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159209600).

2089775520 is an abundant number, since it is smaller than the sum of its proper divisors (6228643680).

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

2089775520 is a wasteful number, since it uses less digits than its factorization.

2089775520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 2089775520 is about 45714.0626065984. The cubic root of 2089775520 is about 1278.4974882879.

The spelling of 2089775520 in words is "two billion, eighty-nine million, seven hundred seventy-five thousand, five hundred twenty".