2162661120 has 432 divisors, whose sum is σ = 8236257120. Its totient is φ = 541458432.

The previous prime is 2162661119. The next prime is 2162661139. The reversal of 2162661120 is 211662612.

2162661120 is a `hidden beast` number, since 2 + 1 + 6 + 26 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5287476 + ... + 5287884.

It is an arithmetic number, because the mean of its divisors is an integer number (19065410).

Almost surely, 2^2162661120 is an apocalyptic number.

2162661120 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 2162661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118128560).

2162661120 is an abundant number, since it is smaller than the sum of its proper divisors (6073596000).

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

2162661120 is an equidigital number, since it uses as much as digits as its factorization.

2162661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 436 counting only the distinct ones).

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

The square root of 2162661120 is about 46504.4204350511. The cubic root of 2162661120 is about 1293.1914488723.

The spelling of 2162661120 in words is "two billion, one hundred sixty-two million, six hundred sixty-one thousand, one hundred twenty".