2166961248 has 168 divisors, whose sum is σ = 6734410200. Its totient is φ = 684163584.

The previous prime is 2166961213. The next prime is 2166961271. The reversal of 2166961248 is 8421696612.

2166961248 is a `hidden beast` number, since 21 + 6 + 6 + 9 + 612 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 440788 + ... + 445676.

It is an arithmetic number, because the mean of its divisors is an integer number (40085775).

Almost surely, 2^2166961248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166961248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367205100).

2166961248 is an abundant number, since it is smaller than the sum of its proper divisors (4567448952).

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

2166961248 is an equidigital number, since it uses as much as digits as its factorization.

2166961248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4936 (or 4913 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 2166961248 is about 46550.6310161312. The cubic root of 2166961248 is about 1294.0479873144.

The spelling of 2166961248 in words is "two billion, one hundred sixty-six million, nine hundred sixty-one thousand, two hundred forty-eight".