2254535301200 has 480 divisors, whose sum is σ = 7286393640960. Its totient is φ = 649882828800.

The previous prime is 2254535301163. The next prime is 2254535301211. The reversal of 2254535301200 is 21035354522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19124036 + ... + 19241564.

It is an arithmetic number, because the mean of its divisors is an integer number (15179986752).

Almost surely, 2^{2254535301200} is an apocalyptic number.

2254535301200 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 2254535301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643196820480).

2254535301200 is an abundant number, since it is smaller than the sum of its proper divisors (5031858339760).

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

2254535301200 is a wasteful number, since it uses less digits than its factorization.

2254535301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117615 (or 117604 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 2254535301200 in words is "two trillion, two hundred fifty-four billion, five hundred thirty-five million, three hundred one thousand, two hundred".