2066601600 has 960 divisors, whose sum is σ = 9366096960. Its totient is φ = 437944320.

The previous prime is 2066601547. The next prime is 2066601611. The reversal of 2066601600 is 61066602.

2066601600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

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, 30844767 + ... + 30844833.

It is an arithmetic number, because the mean of its divisors is an integer number (9756351).

Almost surely, 2^2066601600 is an apocalyptic number.

2066601600 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 2066601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683048480).

2066601600 is an abundant number, since it is smaller than the sum of its proper divisors (7299495360).

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

2066601600 is a wasteful number, since it uses less digits than its factorization.

2066601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

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

The square root of 2066601600 is about 45459.8900130654. The cubic root of 2066601600 is about 1273.7540770051.

The spelling of 2066601600 in words is "two billion, sixty-six million, six hundred one thousand, six hundred".