2162538560 has 252 divisors, whose sum is σ = 6514318188. Its totient is φ = 677763072.

The previous prime is 2162538551. The next prime is 2162538569. The reversal of 2162538560 is 658352612.

It is an interprime number because it is at equal distance from previous prime (2162538551) and next prime (2162538569).

It can be written as a sum of positive squares in 2 ways, for example, as 532317184 + 1630221376 = 23072^2 + 40376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162538569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20995469 + ... + 20995571.

It is an arithmetic number, because the mean of its divisors is an integer number (25850469).

Almost surely, 2^2162538560 is an apocalyptic number.

2162538560 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 2162538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257159094).

2162538560 is an abundant number, since it is smaller than the sum of its proper divisors (4351779628).

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

2162538560 is a wasteful number, since it uses less digits than its factorization.

2162538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 2162538560 is about 46503.1026921860. The cubic root of 2162538560 is about 1293.1670196269.

The spelling of 2162538560 in words is "two billion, one hundred sixty-two million, five hundred thirty-eight thousand, five hundred sixty".