2168405272 has 64 divisors (see below), whose sum is σ = 4527705600. Its totient is φ = 965328000.

The previous prime is 2168405231. The next prime is 2168405273. The reversal of 2168405272 is 2725048612.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168405273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909522 + ... + 911902.

It is an arithmetic number, because the mean of its divisors is an integer number (70745400).

Almost surely, 2^2168405272 is an apocalyptic number.

2168405272 is a gapful number since it is divisible by the number (22) 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 2168405272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263852800).

2168405272 is an abundant number, since it is smaller than the sum of its proper divisors (2359300328).

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

2168405272 is a wasteful number, since it uses less digits than its factorization.

2168405272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 2168405272 is about 46566.1386846709. The cubic root of 2168405272 is about 1294.3353669235.

The spelling of 2168405272 in words is "two billion, one hundred sixty-eight million, four hundred five thousand, two hundred seventy-two".