2151780830784 has 336 divisors, whose sum is σ = 6892430598144. Its totient is φ = 637361049600.

The previous prime is 2151780830777. The next prime is 2151780830803. The reversal of 2151780830784 is 4870380871512.

2151780830784 is a `hidden beast` number, since 21 + 517 + 8 + 0 + 8 + 30 + 78 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2151780830784.

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, 44312182 + ... + 44360714.

It is an arithmetic number, because the mean of its divisors is an integer number (20513186304).

Almost surely, 2^{2151780830784} is an apocalyptic number.

2151780830784 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 2151780830784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446215299072).

2151780830784 is an abundant number, since it is smaller than the sum of its proper divisors (4740649767360).

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

2151780830784 is a wasteful number, since it uses less digits than its factorization.

2151780830784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48786 (or 48773 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 2151780830784 in words is "two trillion, one hundred fifty-one billion, seven hundred eighty million, eight hundred thirty thousand, seven hundred eighty-four".