2110268160000 has 3840 divisors, whose sum is σ = 10659967718400. Its totient is φ = 398131200000.

The previous prime is 2110268159983. The next prime is 2110268160001. The reversal of 2110268160000 is 618620112.

2110268160000 is a `hidden beast` number, since 21 + 10 + 26 + 8 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110268160001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 34594559970 + ... + 34594560030.

It is an arithmetic number, because the mean of its divisors is an integer number (2776033260).

Almost surely, 2^{2110268160000} is an apocalyptic number.

2110268160000 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 2110268160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329983859200).

2110268160000 is an abundant number, since it is smaller than the sum of its proper divisors (8549699558400).

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

2110268160000 is a wasteful number, since it uses less digits than its factorization.

2110268160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 2110268160000 in words is "two trillion, one hundred ten billion, two hundred sixty-eight million, one hundred sixty thousand".