2049885517680 has 3840 divisors, whose sum is σ = 10587642347520. Its totient is φ = 356725555200.

The previous prime is 2049885517651. The next prime is 2049885517741. The reversal of 2049885517680 is 867155889402.

2049885517680 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 8 + 8 + 551 + 76 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 767 ways as a sum of consecutive naturals, for example, 7976208112 + ... + 7976208368.

It is an arithmetic number, because the mean of its divisors is an integer number (2757198528).

Almost surely, 2^{2049885517680} is an apocalyptic number.

2049885517680 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 2049885517680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293821173760).

2049885517680 is an abundant number, since it is smaller than the sum of its proper divisors (8537756829840).

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

2049885517680 is a wasteful number, since it uses less digits than its factorization.

2049885517680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 2049885517680 in words is "two trillion, forty-nine billion, eight hundred eighty-five million, five hundred seventeen thousand, six hundred eighty".