2161230027264 has 720 divisors, whose sum is σ = 7887625409664. Its totient is φ = 557624770560.

The previous prime is 2161230027259. The next prime is 2161230027289. The reversal of 2161230027264 is 4627200321612.

2161230027264 is a `hidden beast` number, since 2 + 1 + 612 + 30 + 0 + 2 + 7 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 612765469 + ... + 612768995.

Almost surely, 2^{2161230027264} is an apocalyptic number.

2161230027264 is a gapful number since it is divisible by the number (24) 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 2161230027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943812704832).

2161230027264 is an abundant number, since it is smaller than the sum of its proper divisors (5726395382400).

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

2161230027264 is a wasteful number, since it uses less digits than its factorization.

2161230027264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 2161230027264 its reverse (4627200321612), we get a palindrome (6788430348876).

The spelling of 2161230027264 in words is "two trillion, one hundred sixty-one billion, two hundred thirty million, twenty-seven thousand, two hundred sixty-four".