2112867354960 has 800 divisors, whose sum is σ = 7574871427200. Its totient is φ = 545678622720.

The previous prime is 2112867354929. The next prime is 2112867354967. The reversal of 2112867354960 is 694537682112.

It is a happy number.

2112867354960 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 86 + 73 + 5 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2112867354897 and 2112867354906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112867354967) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10013589255 + ... + 10013589465.

It is an arithmetic number, because the mean of its divisors is an integer number (9468589284).

It is a 1-persistent number, because it is pandigital, but 2⋅2112867354960 = 4225734709920 is not.

Almost surely, 2^{2112867354960} is an apocalyptic number.

2112867354960 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 2112867354960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787435713600).

2112867354960 is an abundant number, since it is smaller than the sum of its proper divisors (5462004072240).

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

2112867354960 is a wasteful number, since it uses less digits than its factorization.

2112867354960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2112867354960 in words is "two trillion, one hundred twelve billion, eight hundred sixty-seven million, three hundred fifty-four thousand, nine hundred sixty".