2212277760 has 960 divisors, whose sum is σ = 10111495680. Its totient is φ = 433520640.

The previous prime is 2212277741. The next prime is 2212277761. The reversal of 2212277760 is 677722122.

It is a tau number, because it is divible by the number of its divisors (960).

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 (2212277761) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 51448299 + ... + 51448341.

It is an arithmetic number, because the mean of its divisors is an integer number (10532808).

Almost surely, 2^2212277760 is an apocalyptic number.

2212277760 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 2212277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055747840).

2212277760 is an abundant number, since it is smaller than the sum of its proper divisors (7899217920).

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

2212277760 is a wasteful number, since it uses less digits than its factorization.

2212277760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 2212277760 is about 47034.8568616935. The cubic root of 2212277760 is about 1303.0064068533.

Adding to 2212277760 its reverse (677722122), we get a palindrome (2889999882).

It can be divided in two parts, 2212 and 277760, that added together give a palindrome (279972).

The spelling of 2212277760 in words is "two billion, two hundred twelve million, two hundred seventy-seven thousand, seven hundred sixty".