2064900600 has 480 divisors, whose sum is σ = 8318217600. Its totient is φ = 465004800.

The previous prime is 2064900599. The next prime is 2064900667. The reversal of 2064900600 is 60094602.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14855331 + ... + 14855469.

It is an arithmetic number, because the mean of its divisors is an integer number (17329620).

Almost surely, 2^2064900600 is an apocalyptic number.

2064900600 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 2064900600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159108800).

2064900600 is an abundant number, since it is smaller than the sum of its proper divisors (6253317000).

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

2064900600 is a wasteful number, since it uses less digits than its factorization.

2064900600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2064900600 is about 45441.1773615077. The cubic root of 2064900600 is about 1273.4045094819.

The spelling of 2064900600 in words is "two billion, sixty-four million, nine hundred thousand, six hundred".