2254055731200 has 3744 divisors, whose sum is σ = 11175449169920. Its totient is φ = 433166745600.

The previous prime is 2254055731181. The next prime is 2254055731243. The reversal of 2254055731200 is 21375504522.

2254055731200 is a `hidden beast` number, since 2 + 2 + 54 + 0 + 557 + 31 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 72711475185 + ... + 72711475215.

Almost surely, 2^{2254055731200} is an apocalyptic number.

2254055731200 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 2254055731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587724584960).

2254055731200 is an abundant number, since it is smaller than the sum of its proper divisors (8921393438720).

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

2254055731200 is a wasteful number, since it uses less digits than its factorization.

2254055731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 2254055731200 in words is "two trillion, two hundred fifty-four billion, fifty-five million, seven hundred thirty-one thousand, two hundred".