2048027667840 has 768 divisors, whose sum is σ = 9101643632640. Its totient is φ = 411833548800.

The previous prime is 2048027667823. The next prime is 2048027667841. The reversal of 2048027667840 is 487667208402.

It is a happy number.

2048027667840 is a `hidden beast` number, since 2 + 0 + 480 + 27 + 6 + 67 + 84 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048027667841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 13674642 + ... + 13823598.

It is an arithmetic number, because the mean of its divisors is an integer number (11851098480).

Almost surely, 2^{2048027667840} is an apocalyptic number.

2048027667840 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 2048027667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550821816320).

2048027667840 is an abundant number, since it is smaller than the sum of its proper divisors (7053615964800).

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

2048027667840 is a wasteful number, since it uses less digits than its factorization.

2048027667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149031 (or 149016 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 2048027667840 in words is "two trillion, forty-eight billion, twenty-seven million, six hundred sixty-seven thousand, eight hundred forty".