2228141260800 has 2688 divisors, whose sum is σ = 10445337393120. Its totient is φ = 458647142400.

The previous prime is 2228141260753. The next prime is 2228141260883. The reversal of 2228141260800 is 80621418222.

2228141260800 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 1 + 41 + 2 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×2228141260800² (a number of 25 digits) contains 22 as substring.

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 167 ways as a sum of consecutive naturals, for example, 54344908780 + ... + 54344908820.

Almost surely, 2^{2228141260800} is an apocalyptic number.

2228141260800 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 2228141260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222668696560).

2228141260800 is an abundant number, since it is smaller than the sum of its proper divisors (8217196132320).

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

2228141260800 is an frugal number, since it uses more digits than its factorization.

2228141260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 2228141260800 in words is "two trillion, two hundred twenty-eight billion, one hundred forty-one million, two hundred sixty thousand, eight hundred".