2242262664 has 24 divisors (see below), whose sum is σ = 6072794910. Its totient is φ = 747420864.

The previous prime is 2242262611. The next prime is 2242262689. The reversal of 2242262664 is 4662622422.

2242262664 is a `hidden beast` number, since 2 + 2 + 4 + 22 + 626 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1863648900 + 378613764 = 43170^2 + 19458^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 15571197 + ... + 15571340.

Almost surely, 2^2242262664 is an apocalyptic number.

2242262664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2242262664 is an abundant number, since it is smaller than the sum of its proper divisors (3830532246).

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

2242262664 is a wasteful number, since it uses less digits than its factorization.

2242262664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31142549 (or 31142542 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 2242262664 is about 47352.5359827750. The cubic root of 2242262664 is about 1308.8669308200.

The spelling of 2242262664 in words is "two billion, two hundred forty-two million, two hundred sixty-two thousand, six hundred sixty-four".