2064793600 has 135 divisors (see below), whose sum is σ = 5193667801. Its totient is φ = 814284800.

The previous prime is 2064793481. The next prime is 2064793603. The reversal of 2064793600 is 63974602.

The square root of 2064793600 is 45440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 743325696 + 1321467904 = 27264^2 + 36352^2 .

It is a super-2 number, since 2×2064793600² = 8526745221201920000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2064793600.

It is not an unprimeable number, because it can be changed into a prime (2064793603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29081565 + ... + 29081635.

Almost surely, 2^2064793600 is an apocalyptic number.

2064793600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2064793600 is the 45440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064793600

2064793600 is an abundant number, since it is smaller than the sum of its proper divisors (3128874201).

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

2064793600 is an frugal number, since it uses more digits than its factorization.

2064793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The cubic root of 2064793600 is about 1273.3825138088.

It can be divided in two parts, 2064 and 793600, that added together give a square (795664 = 892²).

The spelling of 2064793600 in words is "two billion, sixty-four million, seven hundred ninety-three thousand, six hundred".