2172946625226 has 448 divisors, whose sum is σ = 5657675788800. Its totient is φ = 620088193152.

The previous prime is 2172946625209. The next prime is 2172946625249. The reversal of 2172946625226 is 6225266492712.

2172946625226 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 9 + 4 + 6 + 625 + 2 + 2 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4154773401 + ... + 4154773923.

It is an arithmetic number, because the mean of its divisors is an integer number (12628740600).

Almost surely, 2^{2172946625226} is an apocalyptic number.

2172946625226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2172946625226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828837894400).

2172946625226 is an abundant number, since it is smaller than the sum of its proper divisors (3484729163574).

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

2172946625226 is a wasteful number, since it uses less digits than its factorization.

2172946625226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 782 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 2172946625226 in words is "two trillion, one hundred seventy-two billion, nine hundred forty-six million, six hundred twenty-five thousand, two hundred twenty-six".