2171459920 has 80 divisors (see below), whose sum is σ = 5805521280. Its totient is φ = 739901952.

The previous prime is 2171459911. The next prime is 2171459947. The reversal of 2171459920 is 299541712.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79386 + ... + 103174.

It is an arithmetic number, because the mean of its divisors is an integer number (72569016).

Almost surely, 2^2171459920 is an apocalyptic number.

2171459920 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 2171459920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902760640).

2171459920 is an abundant number, since it is smaller than the sum of its proper divisors (3634061360).

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

2171459920 is a wasteful number, since it uses less digits than its factorization.

2171459920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23972 (or 23966 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 2171459920 is about 46598.9261678850. The cubic root of 2171459920 is about 1294.9428615786.

The spelling of 2171459920 in words is "two billion, one hundred seventy-one million, four hundred fifty-nine thousand, nine hundred twenty".