2066730624 has 576 divisors, whose sum is σ = 7618665600. Its totient is φ = 534159360.

The previous prime is 2066730607. The next prime is 2066730637. The reversal of 2066730624 is 4260376602.

It is a happy number.

2066730624 is a `hidden beast` number, since 20 + 6 + 6 + 7 + 3 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43972969 + ... + 43973015.

It is an arithmetic number, because the mean of its divisors is an integer number (13226850).

Almost surely, 2^2066730624 is an apocalyptic number.

2066730624 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 2066730624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809332800).

2066730624 is an abundant number, since it is smaller than the sum of its proper divisors (5551934976).

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

2066730624 is a wasteful number, since it uses less digits than its factorization.

2066730624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2066730624 is about 45461.3090880586. The cubic root of 2066730624 is about 1273.7805845213.

The spelling of 2066730624 in words is "two billion, sixty-six million, seven hundred thirty thousand, six hundred twenty-four".