2088785664 has 288 divisors, whose sum is σ = 7370173440. Its totient is φ = 570544128.

The previous prime is 2088785663. The next prime is 2088785683. The reversal of 2088785664 is 4665878802.

2088785664 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 78 + 566 + 4 = 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2088785664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088785663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1111894 + ... + 1113770.

It is an arithmetic number, because the mean of its divisors is an integer number (25590880).

Almost surely, 2^2088785664 is an apocalyptic number.

2088785664 is a gapful number since it is divisible by the number (24) 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 2088785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685086720).

2088785664 is an abundant number, since it is smaller than the sum of its proper divisors (5281387776).

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

2088785664 is a wasteful number, since it uses less digits than its factorization.

2088785664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 2088785664 is about 45703.2347214068. The cubic root of 2088785664 is about 1278.2955960651.

The spelling of 2088785664 in words is "two billion, eighty-eight million, seven hundred eighty-five thousand, six hundred sixty-four".