2220063264 has 144 divisors (see below), whose sum is σ = 6560386560. Its totient is φ = 711383040.

The previous prime is 2220063257. The next prime is 2220063271. The reversal of 2220063264 is 4623600222.

2220063264 is a `hidden beast` number, since 2 + 2 + 20 + 0 + 632 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2220063257) and next prime (2220063271).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1490232 + ... + 1491720.

It is an arithmetic number, because the mean of its divisors is an integer number (45558240).

Almost surely, 2^2220063264 is an apocalyptic number.

2220063264 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 2220063264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280193280).

2220063264 is an abundant number, since it is smaller than the sum of its proper divisors (4340323296).

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

2220063264 is a wasteful number, since it uses less digits than its factorization.

2220063264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2220063264 is about 47117.5473045871. The cubic root of 2220063264 is about 1304.5331416746.

Adding to 2220063264 its reverse (4623600222), we get a palindrome (6843663486).

The spelling of 2220063264 in words is "two billion, two hundred twenty million, sixty-three thousand, two hundred sixty-four".