2171964960 has 144 divisors (see below), whose sum is σ = 8085692160. Its totient is φ = 526533120.

The previous prime is 2171964953. The next prime is 2171964967. The reversal of 2171964960 is 694691712.

2171964960 is a `hidden beast` number, since 2 + 1 + 71 + 96 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2171964953) and next prime (2171964967).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2171964967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52720 + ... + 84399.

It is an arithmetic number, because the mean of its divisors is an integer number (56150640).

Almost surely, 2^2171964960 is an apocalyptic number.

2171964960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2171964960 is an abundant number, since it is smaller than the sum of its proper divisors (5913727200).

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

2171964960 is a wasteful number, since it uses less digits than its factorization.

2171964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137151 (or 137140 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2171964960 is about 46604.3448618259. The cubic root of 2171964960 is about 1295.0432467681.

The spelling of 2171964960 in words is "two billion, one hundred seventy-one million, nine hundred sixty-four thousand, nine hundred sixty".