2171892240 has 240 divisors, whose sum is σ = 8605449216. Its totient is φ = 480384000.

The previous prime is 2171892227. The next prime is 2171892259. The reversal of 2171892240 is 422981712.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 2171892195 and 2171892204.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 149290 + ... + 163190.

Almost surely, 2^2171892240 is an apocalyptic number.

2171892240 is a gapful number since it is divisible by the number (20) 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 2171892240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302724608).

2171892240 is an abundant number, since it is smaller than the sum of its proper divisors (6433556976).

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

2171892240 is a wasteful number, since it uses less digits than its factorization.

2171892240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13958 (or 13949 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2171892240 is about 46603.5646705271. The cubic root of 2171892240 is about 1295.0287934048.

The spelling of 2171892240 in words is "two billion, one hundred seventy-one million, eight hundred ninety-two thousand, two hundred forty".