2162352672 has 240 divisors, whose sum is σ = 6955103232. Its totient is φ = 656087040.

The previous prime is 2162352617. The next prime is 2162352677. The reversal of 2162352672 is 2762532612.

2162352672 is a `hidden beast` number, since 2 + 1 + 62 + 3 + 526 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2162352677) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1365193 + ... + 1366775.

Almost surely, 2^2162352672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2162352672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477551616).

2162352672 is an abundant number, since it is smaller than the sum of its proper divisors (4792750560).

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

2162352672 is a wasteful number, since it uses less digits than its factorization.

2162352672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1636 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 2162352672 is about 46501.1039868948. The cubic root of 2162352672 is about 1293.1299657798.

The spelling of 2162352672 in words is "two billion, one hundred sixty-two million, three hundred fifty-two thousand, six hundred seventy-two".