2108556673200 has 960 divisors, whose sum is σ = 8118528000000. Its totient is φ = 518541004800.

The previous prime is 2108556673193. The next prime is 2108556673213. The reversal of 2108556673200 is 23766558012.

2108556673200 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 556 + 6 + 73 + 20 + 0 = 666.

It is a super-2 number, since 2×2108556673200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 767025426 + ... + 767028174.

It is an arithmetic number, because the mean of its divisors is an integer number (8456800000).

Almost surely, 2^{2108556673200} is an apocalyptic number.

2108556673200 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 2108556673200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059264000000).

2108556673200 is an abundant number, since it is smaller than the sum of its proper divisors (6009971326800).

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

2108556673200 is a wasteful number, since it uses less digits than its factorization.

2108556673200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2108556673200 in words is "two trillion, one hundred eight billion, five hundred fifty-six million, six hundred seventy-three thousand, two hundred".