2242002672 has 480 divisors, whose sum is σ = 8234472960. Its totient is φ = 571484160.

The previous prime is 2242002611. The next prime is 2242002683. The reversal of 2242002672 is 2762002422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20953243 + ... + 20953349.

It is an arithmetic number, because the mean of its divisors is an integer number (17155152).

Almost surely, 2^2242002672 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 2242002672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117236480).

2242002672 is an abundant number, since it is smaller than the sum of its proper divisors (5992470288).

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

2242002672 is a wasteful number, since it uses less digits than its factorization.

2242002672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2242002672 is about 47349.7906225571. The cubic root of 2242002672 is about 1308.8163408379.

The spelling of 2242002672 in words is "two billion, two hundred forty-two million, two thousand, six hundred seventy-two".