2066264640 has 280 divisors, whose sum is σ = 8019361152. Its totient is φ = 500843520.

The previous prime is 2066264633. The next prime is 2066264653. The reversal of 2066264640 is 464626602.

2066264640 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 2 + 6 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2066264595 and 2066264604.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 281497 + ... + 288743.

Almost surely, 2^2066264640 is an apocalyptic number.

2066264640 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 2066264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009680576).

2066264640 is an abundant number, since it is smaller than the sum of its proper divisors (5953096512).

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

2066264640 is a wasteful number, since it uses less digits than its factorization.

2066264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7287 (or 7268 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2066264640 is about 45456.1837377490. The cubic root of 2066264640 is about 1273.6848445830.

The spelling of 2066264640 in words is "two billion, sixty-six million, two hundred sixty-four thousand, six hundred forty".