2162517672 has 64 divisors (see below), whose sum is σ = 6182484480. Its totient is φ = 617476032.

The previous prime is 2162517641. The next prime is 2162517673. The reversal of 2162517672 is 2767152612.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2162517672.

It is not an unprimeable number, because it can be changed into a prime (2162517673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367183 + ... + 373025.

It is an arithmetic number, because the mean of its divisors is an integer number (96601320).

Almost surely, 2^2162517672 is an apocalyptic number.

It is an amenable number.

2162517672 is an abundant number, since it is smaller than the sum of its proper divisors (4019966808).

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

2162517672 is a wasteful number, since it uses less digits than its factorization.

2162517672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8062 (or 8058 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 2162517672 is about 46502.8781044787. The cubic root of 2162517672 is about 1293.1628560387.

The spelling of 2162517672 in words is "two billion, one hundred sixty-two million, five hundred seventeen thousand, six hundred seventy-two".