2163072000 has 352 divisors, whose sum is σ = 7418721024. Its totient is φ = 559104000.

The previous prime is 2163071927. The next prime is 2163072029. The reversal of 2163072000 is 2703612.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16511935 + ... + 16512065.

It is an arithmetic number, because the mean of its divisors is an integer number (21075912).

Almost surely, 2^2163072000 is an apocalyptic number.

2163072000 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 2163072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709360512).

2163072000 is an abundant number, since it is smaller than the sum of its proper divisors (5255649024).

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

2163072000 is a wasteful number, since it uses less digits than its factorization.

2163072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 2163072000 is about 46508.8378698071. The cubic root of 2163072000 is about 1293.2733407063.

Adding to 2163072000 its reverse (2703612), we get a palindrome (2165775612).

The spelling of 2163072000 in words is "two billion, one hundred sixty-three million, seventy-two thousand".