2189616877440 has 192 divisors, whose sum is σ = 7570383022800. Its totient is φ = 583174840320.

The previous prime is 2189616877421. The next prime is 2189616877457. The reversal of 2189616877440 is 447786169812.

2189616877440 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 61 + 68 + 77 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4424895 + ... + 4894785.

Almost surely, 2^{2189616877440} is an apocalyptic number.

2189616877440 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 2189616877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785191511400).

2189616877440 is an abundant number, since it is smaller than the sum of its proper divisors (5380766145360).

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

2189616877440 is a wasteful number, since it uses less digits than its factorization.

2189616877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470725 (or 470710 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 2189616877440 in words is "two trillion, one hundred eighty-nine billion, six hundred sixteen million, eight hundred seventy-seven thousand, four hundred forty".