2178428281920 has 1008 divisors, whose sum is σ = 8750884955904. Its totient is φ = 515132006400.

The previous prime is 2178428281873. The next prime is 2178428281933. The reversal of 2178428281920 is 291828248712.

It is a happy number.

2178428281920 is a `hidden beast` number, since 2 + 1 + 7 + 8 + 428 + 28 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 385764537 + ... + 385770183.

It is an arithmetic number, because the mean of its divisors is an integer number (8681433488).

Almost surely, 2^{2178428281920} is an apocalyptic number.

2178428281920 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 2178428281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375442477952).

2178428281920 is an abundant number, since it is smaller than the sum of its proper divisors (6572456673984).

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

2178428281920 is a wasteful number, since it uses less digits than its factorization.

2178428281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5709 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 2178428281920 in words is "two trillion, one hundred seventy-eight billion, four hundred twenty-eight million, two hundred eighty-one thousand, nine hundred twenty".