2162049120 has 1152 divisors, whose sum is σ = 10325532672. Its totient is φ = 398131200.

The previous prime is 2162049119. The next prime is 2162049133. The reversal of 2162049120 is 219402612.

2162049120 is a `hidden beast` number, since 21 + 620 + 4 + 9 + 12 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58433742 + ... + 58433778.

It is an arithmetic number, because the mean of its divisors is an integer number (8963136).

Almost surely, 2^2162049120 is an apocalyptic number.

2162049120 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 2162049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162766336).

2162049120 is an abundant number, since it is smaller than the sum of its proper divisors (8163483552).

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

2162049120 is a wasteful number, since it uses less digits than its factorization.

2162049120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2162049120 is about 46497.8399498299. The cubic root of 2162049120 is about 1293.0694529009.

The spelling of 2162049120 in words is "two billion, one hundred sixty-two million, forty-nine thousand, one hundred twenty".