2064512609280 has 1056 divisors, whose sum is σ = 8070020352576. Its totient is φ = 487686144000.

The previous prime is 2064512609261. The next prime is 2064512609339. The reversal of 2064512609280 is 829062154602.

2064512609280 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 5 + 12 + 609 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×2064512609280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2514631270 + ... + 2514632090.

Almost surely, 2^{2064512609280} is an apocalyptic number.

2064512609280 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 2064512609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035010176288).

2064512609280 is an abundant number, since it is smaller than the sum of its proper divisors (6005507743296).

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

2064512609280 is a wasteful number, since it uses less digits than its factorization.

2064512609280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2064512609280 in words is "two trillion, sixty-four billion, five hundred twelve million, six hundred nine thousand, two hundred eighty".