2103684433920 has 288 divisors, whose sum is σ = 7294077423360. Its totient is φ = 560745185280.

The previous prime is 2103684433919. The next prime is 2103684433957. The reversal of 2103684433920 is 293344863012.

2103684433920 is a `hidden beast` number, since 21 + 0 + 36 + 84 + 433 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380341555 + ... + 380347085.

It is an arithmetic number, because the mean of its divisors is an integer number (25326657720).

Almost surely, 2^{2103684433920} is an apocalyptic number.

2103684433920 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 2103684433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647038711680).

2103684433920 is an abundant number, since it is smaller than the sum of its proper divisors (5190392989440).

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

2103684433920 is a wasteful number, since it uses less digits than its factorization.

2103684433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9691 (or 9668 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2103684433920 in words is "two trillion, one hundred three billion, six hundred eighty-four million, four hundred thirty-three thousand, nine hundred twenty".