2171683272 has 64 divisors (see below), whose sum is σ = 5928192000. Its totient is φ = 657483840.

The previous prime is 2171683271. The next prime is 2171683273. The reversal of 2171683272 is 2723861712.

It is an interprime number because it is at equal distance from previous prime (2171683271) and next prime (2171683273).

It is a self number, because there is not a number n which added to its sum of digits gives 2171683272.

It is not an unprimeable number, because it can be changed into a prime (2171683271) 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 15 ways as a sum of consecutive naturals, for example, 347229 + ... + 353427.

It is an arithmetic number, because the mean of its divisors is an integer number (92628000).

Almost surely, 2^2171683272 is an apocalyptic number.

2171683272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2171683272 is an abundant number, since it is smaller than the sum of its proper divisors (3756508728).

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

2171683272 is a wasteful number, since it uses less digits than its factorization.

2171683272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7546 (or 7542 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 2171683272 is about 46601.3226421740. The cubic root of 2171683272 is about 1294.9872584625.

The spelling of 2171683272 in words is "two billion, one hundred seventy-one million, six hundred eighty-three thousand, two hundred seventy-two".