2189656392840 has 1280 divisors, whose sum is σ = 8802579456000. Its totient is φ = 483930961920.

The previous prime is 2189656392827. The next prime is 2189656392841. The reversal of 2189656392840 is 482936569812.

2189656392840 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 6 + 563 + 9 + 28 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2189656392841) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 17241388857 + ... + 17241388983.

It is an arithmetic number, because the mean of its divisors is an integer number (6877015200).

Almost surely, 2^{2189656392840} is an apocalyptic number.

2189656392840 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 2189656392840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401289728000).

2189656392840 is an abundant number, since it is smaller than the sum of its proper divisors (6612923063160).

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

2189656392840 is a wasteful number, since it uses less digits than its factorization.

2189656392840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 2189656392840 in words is "two trillion, one hundred eighty-nine billion, six hundred fifty-six million, three hundred ninety-two thousand, eight hundred forty".