2972227104 has 432 divisors, whose sum is σ = 11011212576. Its totient is φ = 751564800.

The previous prime is 2972227099. The next prime is 2972227109. The reversal of 2972227104 is 4017222792.

It is an interprime number because it is at equal distance from previous prime (2972227099) and next prime (2972227109).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2972227109) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6364279 + ... + 6364745.

It is an arithmetic number, because the mean of its divisors is an integer number (25488918).

Almost surely, 2^2972227104 is an apocalyptic number.

2972227104 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 2972227104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505606288).

2972227104 is an abundant number, since it is smaller than the sum of its proper divisors (8038985472).

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

2972227104 is a wasteful number, since it uses less digits than its factorization.

2972227104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2972227104 is about 54518.1355513924. The cubic root of 2972227104 is about 1437.7851599527.

Adding to 2972227104 its reverse (4017222792), we get a palindrome (6989449896).

The spelling of 2972227104 in words is "two billion, nine hundred seventy-two million, two hundred twenty-seven thousand, one hundred four".