2064833280 has 216 divisors, whose sum is σ = 7455678048. Its totient is φ = 526614528.

The previous prime is 2064833279. The next prime is 2064833317. The reversal of 2064833280 is 823384602.

2064833280 is a `hidden beast` number, since 2 + 0 + 648 + 3 + 3 + 2 + 8 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 261064 + ... + 268856.

It is an arithmetic number, because the mean of its divisors is an integer number (34517028).

Almost surely, 2^2064833280 is an apocalyptic number.

2064833280 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 2064833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727839024).

2064833280 is an abundant number, since it is smaller than the sum of its proper divisors (5390844768).

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

2064833280 is a wasteful number, since it uses less digits than its factorization.

2064833280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7843 (or 7826 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2064833280 is about 45440.4366176207. The cubic root of 2064833280 is about 1273.3906707975.

The spelling of 2064833280 in words is "two billion, sixty-four million, eight hundred thirty-three thousand, two hundred eighty".