2242676772 has 144 divisors (see below), whose sum is σ = 6752858112. Its totient is φ = 614070720.

The previous prime is 2242676767. The next prime is 2242676797. The reversal of 2242676772 is 2776762422.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834543 + ... + 837225.

It is an arithmetic number, because the mean of its divisors is an integer number (46894848).

Almost surely, 2^2242676772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242676772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376429056).

2242676772 is an abundant number, since it is smaller than the sum of its proper divisors (4510181340).

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

2242676772 is a wasteful number, since it uses less digits than its factorization.

2242676772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2833 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 2242676772 is about 47356.9083872670. The cubic root of 2242676772 is about 1308.9475010572.

The spelling of 2242676772 in words is "two billion, two hundred forty-two million, six hundred seventy-six thousand, seven hundred seventy-two".