2064726720 has 336 divisors, whose sum is σ = 8474842080. Its totient is φ = 471840768.

The previous prime is 2064726709. The next prime is 2064726733. The reversal of 2064726720 is 276274602.

2064726720 is a `hidden beast` number, since 2 + 0 + 647 + 2 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420922 + ... + 425798.

Almost surely, 2^2064726720 is an apocalyptic number.

2064726720 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 2064726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237421040).

2064726720 is an abundant number, since it is smaller than the sum of its proper divisors (6410115360).

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

2064726720 is a wasteful number, since it uses less digits than its factorization.

2064726720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2064726720 is about 45439.2640785478. The cubic root of 2064726720 is about 1273.3687650993.

The spelling of 2064726720 in words is "two billion, sixty-four million, seven hundred twenty-six thousand, seven hundred twenty".