2093938778880 has 432 divisors, whose sum is σ = 7807324455840. Its totient is φ = 515086221312.

The previous prime is 2093938778849. The next prime is 2093938778887. The reversal of 2093938778880 is 888778393902.

2093938778880 is a `hidden beast` number, since 2 + 0 + 9 + 393 + 87 + 7 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2093938778799 and 2093938778808.

It is not an unprimeable number, because it can be changed into a prime (2093938778887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279598176 + ... + 279605664.

Almost surely, 2^{2093938778880} is an apocalyptic number.

2093938778880 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 2093938778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903662227920).

2093938778880 is an abundant number, since it is smaller than the sum of its proper divisors (5713385676960).

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

2093938778880 is a wasteful number, since it uses less digits than its factorization.

2093938778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9396 (or 9379 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 2093938778880 in words is "two trillion, ninety-three billion, nine hundred thirty-eight million, seven hundred seventy-eight thousand, eight hundred eighty".