2064585600 has 1152 divisors, whose sum is σ = 9865440000. Its totient is φ = 406425600.

The previous prime is 2064585583. The next prime is 2064585613. The reversal of 2064585600 is 65854602.

2064585600 is a `hidden beast` number, since 2 + 0 + 6 + 45 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108662391 + ... + 108662409.

It is an arithmetic number, because the mean of its divisors is an integer number (8563750).

Almost surely, 2^2064585600 is an apocalyptic number.

2064585600 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 2064585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932720000).

2064585600 is an abundant number, since it is smaller than the sum of its proper divisors (7800854400).

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

2064585600 is a wasteful number, since it uses less digits than its factorization.

2064585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2064585600 is about 45437.7112099630. The cubic root of 2064585600 is about 1273.3397536903.

The spelling of 2064585600 in words is "two billion, sixty-four million, five hundred eighty-five thousand, six hundred".