2009022760000 has 315 divisors, whose sum is σ = 5271852827241. Its totient is φ = 759272832000.

The previous prime is 2009022759979. The next prime is 2009022760001. The reversal of 2009022760000 is 672209002.

The square root of 2009022760000 is 1417400.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1468691914816 + 540330845184 = 1211896^2 + 735072^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2009022760001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5386119814 + ... + 5386120186.

Almost surely, 2^{2009022760000} is an apocalyptic number.

2009022760000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2009022760000 is the 1417400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009022760000

2009022760000 is an abundant number, since it is smaller than the sum of its proper divisors (3262830067241).

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

2009022760000 is an frugal number, since it uses more digits than its factorization.

2009022760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 2009022760000 its reverse (672209002), we get a palindrome (2009694969002).

The spelling of 2009022760000 in words is "two trillion, nine billion, twenty-two million, seven hundred sixty thousand".