2109983677120 has 448 divisors, whose sum is σ = 5939348405760. Its totient is φ = 705709670400.

The previous prime is 2109983677103. The next prime is 2109983677141. The reversal of 2109983677120 is 217763899012.

It is a happy number.

It is a super-2 number, since 2×2109983677120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 497518200 + ... + 497522440.

It is an arithmetic number, because the mean of its divisors is an integer number (13257474120).

Almost surely, 2^{2109983677120} is an apocalyptic number.

2109983677120 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 2109983677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969674202880).

2109983677120 is an abundant number, since it is smaller than the sum of its proper divisors (3829364728640).

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

2109983677120 is a wasteful number, since it uses less digits than its factorization.

2109983677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 55.

The spelling of 2109983677120 in words is "two trillion, one hundred nine billion, nine hundred eighty-three million, six hundred seventy-seven thousand, one hundred twenty".