2162611200 has 264 divisors, whose sum is σ = 7401624480. Its totient is φ = 556236800.

The previous prime is 2162611189. The next prime is 2162611201. The reversal of 2162611200 is 21162612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162611201) 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, 2226715 + ... + 2227685.

Almost surely, 2^2162611200 is an apocalyptic number.

2162611200 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 2162611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700812240).

2162611200 is an abundant number, since it is smaller than the sum of its proper divisors (5239013280).

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

2162611200 is a wasteful number, since it uses less digits than its factorization.

2162611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2162611200 is about 46503.8837087829. The cubic root of 2162611200 is about 1293.1814986905.

Adding to 2162611200 its reverse (21162612), we get a palindrome (2183773812).

The spelling of 2162611200 in words is "two billion, one hundred sixty-two million, six hundred eleven thousand, two hundred".