2254021441200 has 720 divisors, whose sum is σ = 8240318835840. Its totient is φ = 591627939840.

The previous prime is 2254021441159. The next prime is 2254021441213. The reversal of 2254021441200 is 21441204522.

It is a happy number.

2254021441200 is a `hidden beast` number, since 2 + 2 + 5 + 402 + 14 + 41 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2254021441200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1790326171 + ... + 1790327429.

It is an arithmetic number, because the mean of its divisors is an integer number (11444887272).

Almost surely, 2^{2254021441200} is an apocalyptic number.

2254021441200 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 2254021441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120159417920).

2254021441200 is an abundant number, since it is smaller than the sum of its proper divisors (5986297394640).

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

2254021441200 is a wasteful number, since it uses less digits than its factorization.

2254021441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 2254021441200 its reverse (21441204522), we get a palindrome (2275462645722).

The spelling of 2254021441200 in words is "two trillion, two hundred fifty-four billion, twenty-one million, four hundred forty-one thousand, two hundred".