2270161800 has 288 divisors, whose sum is σ = 8226036000. Its totient is φ = 559180800.

The previous prime is 2270161783. The next prime is 2270161807. The reversal of 2270161800 is 81610722.

It is not an unprimeable number, because it can be changed into a prime (2270161807) 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 71 ways as a sum of consecutive naturals, for example, 1401391 + ... + 1403009.

It is an arithmetic number, because the mean of its divisors is an integer number (28562625).

Almost surely, 2^2270161800 is an apocalyptic number.

2270161800 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 2270161800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113018000).

2270161800 is an abundant number, since it is smaller than the sum of its proper divisors (5955874200).

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

2270161800 is a wasteful number, since it uses less digits than its factorization.

2270161800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2270161800 is about 47646.2149598475. The cubic root of 2270161800 is about 1314.2730540458.

The spelling of 2270161800 in words is "two billion, two hundred seventy million, one hundred sixty-one thousand, eight hundred".