2169738627840 has 2160 divisors, whose sum is σ = 9744169881600. Its totient is φ = 458308730880.

The previous prime is 2169738627821. The next prime is 2169738627857. The reversal of 2169738627840 is 487268379612.

2169738627840 is a `hidden beast` number, since 216 + 9 + 73 + 86 + 278 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3622267861 + ... + 3622268459.

It is an arithmetic number, because the mean of its divisors is an integer number (4511189760).

Almost surely, 2^{2169738627840} is an apocalyptic number.

2169738627840 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 2169738627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872084940800).

2169738627840 is an abundant number, since it is smaller than the sum of its proper divisors (7574431253760).

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

2169738627840 is a wasteful number, since it uses less digits than its factorization.

2169738627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 2169738627840 in words is "two trillion, one hundred sixty-nine billion, seven hundred thirty-eight million, six hundred twenty-seven thousand, eight hundred forty".