2254856676800 has 1260 divisors, whose sum is σ = 7498913978520. Its totient is φ = 663309803520.

The previous prime is 2254856676773. The next prime is 2254856676817. The reversal of 2254856676800 is 86766584522.

It is a self number, because there is not a number n which added to its sum of digits gives 2254856676800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 42544465574 + ... + 42544465626.

Almost surely, 2^{2254856676800} is an apocalyptic number.

2254856676800 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 2254856676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749456989260).

2254856676800 is an abundant number, since it is smaller than the sum of its proper divisors (5244057301720).

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

2254856676800 is an equidigital number, since it uses as much as digits as its factorization.

2254856676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 59.

The spelling of 2254856676800 in words is "two trillion, two hundred fifty-four billion, eight hundred fifty-six million, six hundred seventy-six thousand, eight hundred".