2270842711200 has 2160 divisors, whose sum is σ = 9963695267064. Its totient is φ = 501645312000.

The previous prime is 2270842711199. The next prime is 2270842711201. The reversal of 2270842711200 is 21172480722.

2270842711200 is a `hidden beast` number, since 2 + 27 + 0 + 8 + 427 + 1 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (2270842711199) and next prime (2270842711201).

It can be written as a sum of positive squares in 12 ways, for example, as 624928194576 + 1645914516624 = 790524^2 + 1282932^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270842711201) by changing a digit.

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 359 ways as a sum of consecutive naturals, for example, 22483591150 + ... + 22483591250.

Almost surely, 2^{2270842711200} is an apocalyptic number.

2270842711200 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 2270842711200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981847633532).

2270842711200 is an abundant number, since it is smaller than the sum of its proper divisors (7692852555864).

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

2270842711200 is a wasteful number, since it uses less digits than its factorization.

2270842711200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 2270842711200 in words is "two trillion, two hundred seventy billion, eight hundred forty-two million, seven hundred eleven thousand, two hundred".