1827984202240 has 160 divisors (see below), whose sum is σ = 5010776432640. Its totient is φ = 626515574784.

The previous prime is 1827984202201. The next prime is 1827984202271. The reversal of 1827984202240 is 422024897281.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 55338369 + ... + 55371391.

It is an arithmetic number, because the mean of its divisors is an integer number (31317352704).

Almost surely, 2^{1827984202240} is an apocalyptic number.

1827984202240 is a gapful number since it is divisible by the number (10) 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 1827984202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505388216320).

1827984202240 is an abundant number, since it is smaller than the sum of its proper divisors (3182792230400).

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

1827984202240 is an equidigital number, since it uses as much as digits as its factorization.

1827984202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36142 (or 36126 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The spelling of 1827984202240 in words is "one trillion, eight hundred twenty-seven billion, nine hundred eighty-four million, two hundred two thousand, two hundred forty".