2187939688704 has 432 divisors, whose sum is σ = 7881705861120. Its totient is φ = 567087575040.

The previous prime is 2187939688681. The next prime is 2187939688769. The reversal of 2187939688704 is 4078869397812.

2187939688704 is a `hidden beast` number, since 21 + 8 + 79 + 396 + 88 + 70 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84965559 + ... + 84991305.

Almost surely, 2^{2187939688704} is an apocalyptic number.

2187939688704 is a gapful number since it is divisible by the number (24) 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 2187939688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940852930560).

2187939688704 is an abundant number, since it is smaller than the sum of its proper divisors (5693766172416).

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

2187939688704 is a wasteful number, since it uses less digits than its factorization.

2187939688704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26266 (or 26249 counting only the distinct ones).

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

The spelling of 2187939688704 in words is "two trillion, one hundred eighty-seven billion, nine hundred thirty-nine million, six hundred eighty-eight thousand, seven hundred four".