2081878579200 has 1152 divisors, whose sum is σ = 8369839296000. Its totient is φ = 445906944000.

The previous prime is 2081878579169. The next prime is 2081878579201. The reversal of 2081878579200 is 29758781802.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081878579201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2063308296 + ... + 2063309304.

It is an arithmetic number, because the mean of its divisors is an integer number (7265485500).

Almost surely, 2^{2081878579200} is an apocalyptic number.

2081878579200 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 2081878579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184919648000).

2081878579200 is an abundant number, since it is smaller than the sum of its proper divisors (6287960716800).

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

2081878579200 is a wasteful number, since it uses less digits than its factorization.

2081878579200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 57.

The spelling of 2081878579200 in words is "two trillion, eighty-one billion, eight hundred seventy-eight million, five hundred seventy-nine thousand, two hundred".