2645827560000 has 315 divisors, whose sum is σ = 9480197149423. Its totient is φ = 705293760000.

The previous prime is 2645827559993. The next prime is 2645827560029. The reversal of 2645827560000 is 657285462.

The square root of 2645827560000 is 1626600.

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

2645827560000 is a `hidden beast` number, since 2 + 6 + 4 + 5 + 82 + 7 + 560 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 207432880704 + 2438394679296 = 455448^2 + 1561536^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 975958645 + ... + 975961355.

Almost surely, 2^{2645827560000} is an apocalyptic number.

2645827560000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2645827560000 is the 1626600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2645827560000

2645827560000 is an abundant number, since it is smaller than the sum of its proper divisors (6834369589423).

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

2645827560000 is an frugal number, since it uses more digits than its factorization.

2645827560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2645827560000 in words is "two trillion, six hundred forty-five billion, eight hundred twenty-seven million, five hundred sixty thousand".