2212827264 has 96 divisors (see below), whose sum is σ = 6376853340. Its totient is φ = 736542720.

The previous prime is 2212827233. The next prime is 2212827269. The reversal of 2212827264 is 4627282122.

It can be written as a sum of positive squares in 2 ways, for example, as 1982030400 + 230796864 = 44520^2 + 15192^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 (2212827269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1493404 + ... + 1494884.

Almost surely, 2^2212827264 is an apocalyptic number.

2212827264 is a gapful number since it is divisible by the number (24) 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 2212827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188426670).

2212827264 is an abundant number, since it is smaller than the sum of its proper divisors (4164026076).

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

2212827264 is a wasteful number, since it uses less digits than its factorization.

2212827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2783 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 2212827264 is about 47040.6979540057. The cubic root of 2212827264 is about 1303.1142817882.

The spelling of 2212827264 in words is "two billion, two hundred twelve million, eight hundred twenty-seven thousand, two hundred sixty-four".