2252780812800 has 3600 divisors, whose sum is σ = 10973986816320. Its totient is φ = 444314419200.

The previous prime is 2252780812741. The next prime is 2252780812813. The reversal of 2252780812800 is 82180872522.

2252780812800 is a `hidden beast` number, since 2 + 25 + 278 + 0 + 81 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 72670348785 + ... + 72670348815.

Almost surely, 2^{2252780812800} is an apocalyptic number.

2252780812800 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 2252780812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486993408160).

2252780812800 is an abundant number, since it is smaller than the sum of its proper divisors (8721206003520).

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

2252780812800 is a wasteful number, since it uses less digits than its factorization.

2252780812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 2252780812800 in words is "two trillion, two hundred fifty-two billion, seven hundred eighty million, eight hundred twelve thousand, eight hundred".