2049827143680 has 320 divisors, whose sum is σ = 7288518996000. Its totient is φ = 546601697280.

The previous prime is 2049827143673. The next prime is 2049827143699. The reversal of 2049827143680 is 863417289402.

2049827143680 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 8 + 271 + 4 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70764400 + ... + 70793360.

Almost surely, 2^{2049827143680} is an apocalyptic number.

2049827143680 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 2049827143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644259498000).

2049827143680 is an abundant number, since it is smaller than the sum of its proper divisors (5238691852320).

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

2049827143680 is an frugal number, since it uses more digits than its factorization.

2049827143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29013 (or 28971 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2049827143680 in words is "two trillion, forty-nine billion, eight hundred twenty-seven million, one hundred forty-three thousand, six hundred eighty".