2066072580 has 216 divisors, whose sum is σ = 7419526296. Its totient is φ = 462274560.

The previous prime is 2066072513. The next prime is 2066072581. The reversal of 2066072580 is 852706602.

2066072580 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 0 + 72 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4186116 + 2061886464 = 2046^2 + 45408^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2066072581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 279492 + ... + 286788.

Almost surely, 2^2066072580 is an apocalyptic number.

2066072580 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 2066072580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709763148).

2066072580 is an abundant number, since it is smaller than the sum of its proper divisors (5353453716).

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

2066072580 is a wasteful number, since it uses less digits than its factorization.

2066072580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7347 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2066072580 is about 45454.0711047976. The cubic root of 2066072580 is about 1273.6453802139.

The spelling of 2066072580 in words is "two billion, sixty-six million, seventy-two thousand, five hundred eighty".