2272916378106 has 648 divisors, whose sum is σ = 6255162242784. Its totient is φ = 614042415360.

The previous prime is 2272916377997. The next prime is 2272916378107. The reversal of 2272916378106 is 6018736192722.

It is a happy number.

2272916378106 is a `hidden beast` number, since 227 + 29 + 16 + 378 + 10 + 6 = 666.

2272916378106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2272916378106² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2272916378107) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 22067149251 + ... + 22067149353.

Almost surely, 2^{2272916378106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272916378106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127581121392).

2272916378106 is an abundant number, since it is smaller than the sum of its proper divisors (3982245864678).

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

2272916378106 is a wasteful number, since it uses less digits than its factorization.

2272916378106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2272916378106 in words is "two trillion, two hundred seventy-two billion, nine hundred sixteen million, three hundred seventy-eight thousand, one hundred six".