2644820542080 has 384 divisors, whose sum is σ = 9436050224640. Its totient is φ = 681915801600.

The previous prime is 2644820542061. The next prime is 2644820542103. The reversal of 2644820542080 is 802450284462.

2644820542080 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 8 + 20 + 542 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216587175 + ... + 216599385.

It is an arithmetic number, because the mean of its divisors is an integer number (24573047460).

Almost surely, 2^{2644820542080} is an apocalyptic number.

2644820542080 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 2644820542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718025112320).

2644820542080 is an abundant number, since it is smaller than the sum of its proper divisors (6791229682560).

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

2644820542080 is a wasteful number, since it uses less digits than its factorization.

2644820542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13480 (or 13465 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 2644820542080 in words is "two trillion, six hundred forty-four billion, eight hundred twenty million, five hundred forty-two thousand, eighty".