2049111715680 has 288 divisors, whose sum is σ = 7089140507904. Its totient is φ = 538908177408.

The previous prime is 2049111715631. The next prime is 2049111715697. The reversal of 2049111715680 is 865171119402.

2049111715680 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 1 + 11 + 71 + 568 + 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70143637 + ... + 70172843.

It is an arithmetic number, because the mean of its divisors is an integer number (24615071208).

Almost surely, 2^{2049111715680} is an apocalyptic number.

2049111715680 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 2049111715680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544570253952).

2049111715680 is an abundant number, since it is smaller than the sum of its proper divisors (5040028792224).

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

2049111715680 is a wasteful number, since it uses less digits than its factorization.

2049111715680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29898 (or 29887 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 2049111715680 in words is "two trillion, forty-nine billion, one hundred eleven million, seven hundred fifteen thousand, six hundred eighty".