2573862220800 has 1386 divisors, whose sum is σ = 10402526696982. Its totient is φ = 627414958080.

The previous prime is 2573862220789. The next prime is 2573862220823. The reversal of 2573862220800 is 80222683752.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7919576064 + 2565942644736 = 88992^2 + 1601856^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 24988953549 + ... + 24988953651.

Almost surely, 2^{2573862220800} is an apocalyptic number.

2573862220800 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 2573862220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201263348491).

2573862220800 is an abundant number, since it is smaller than the sum of its proper divisors (7828664476182).

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

2573862220800 is an equidigital number, since it uses as much as digits as its factorization.

2573862220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2573862220800 in words is "two trillion, five hundred seventy-three billion, eight hundred sixty-two million, two hundred twenty thousand, eight hundred".