2125164660 has 192 divisors, whose sum is σ = 6347980800. Its totient is φ = 530385408.

The previous prime is 2125164623. The next prime is 2125164667. The reversal of 2125164660 is 664615212.

It is a super-2 number, since 2×2125164660² = 9032649664225831200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125164667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13037739 + ... + 13037901.

It is an arithmetic number, because the mean of its divisors is an integer number (33062400).

Almost surely, 2^2125164660 is an apocalyptic number.

2125164660 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 2125164660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173990400).

2125164660 is an abundant number, since it is smaller than the sum of its proper divisors (4222816140).

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

2125164660 is a wasteful number, since it uses less digits than its factorization.

2125164660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2125164660 is about 46099.5082403272. The cubic root of 2125164660 is about 1285.6740013128.

Adding to 2125164660 its reverse (664615212), we get a palindrome (2789779872).

The spelling of 2125164660 in words is "two billion, one hundred twenty-five million, one hundred sixty-four thousand, six hundred sixty".