2201279086800 has 360 divisors, whose sum is σ = 7996562615808. Its totient is φ = 560068992000.

The previous prime is 2201279086759. The next prime is 2201279086837. The reversal of 2201279086800 is 86809721022.

2201279086800 is a `hidden beast` number, since 220 + 1 + 279 + 0 + 86 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7784694 + ... + 8062506.

Almost surely, 2^{2201279086800} is an apocalyptic number.

2201279086800 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 2201279086800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998281307904).

2201279086800 is an abundant number, since it is smaller than the sum of its proper divisors (5795283529008).

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

2201279086800 is a wasteful number, since it uses less digits than its factorization.

2201279086800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277939 (or 277925 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2201279086800 in words is "two trillion, two hundred one billion, two hundred seventy-nine million, eighty-six thousand, eight hundred".