2181384354240 has 1120 divisors, whose sum is σ = 10112201979264. Its totient is φ = 433166745600.

The previous prime is 2181384354221. The next prime is 2181384354293. The reversal of 2181384354240 is 424534831812.

2181384354240 is a `hidden beast` number, since 2 + 1 + 8 + 138 + 435 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 40071040 + ... + 40125440.

Almost surely, 2^{2181384354240} is an apocalyptic number.

2181384354240 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 2181384354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056100989632).

2181384354240 is an abundant number, since it is smaller than the sum of its proper divisors (7930817625024).

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

2181384354240 is a wasteful number, since it uses less digits than its factorization.

2181384354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54467 (or 54448 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2181384354240 in words is "two trillion, one hundred eighty-one billion, three hundred eighty-four million, three hundred fifty-four thousand, two hundred forty".