2064006000 has 240 divisors, whose sum is σ = 8239228608. Its totient is φ = 471744000.

The previous prime is 2064005981. The next prime is 2064006011. The reversal of 2064006000 is 6004602.

2064006000 is a `hidden beast` number, since 2 + 0 + 64 + 0 + 0 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 117810 + ... + 134190.

Almost surely, 2^2064006000 is an apocalyptic number.

2064006000 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 2064006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119614304).

2064006000 is an abundant number, since it is smaller than the sum of its proper divisors (6175222608).

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

2064006000 is a wasteful number, since it uses less digits than its factorization.

2064006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16417 (or 16398 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2064006000 is about 45431.3328001722. The cubic root of 2064006000 is about 1273.2205858219.

The spelling of 2064006000 in words is "two billion, sixty-four million, six thousand", and thus it is an eban number.