2049544425600 has 3072 divisors, whose sum is σ = 9677723443200. Its totient is φ = 417798881280.

The previous prime is 2049544425587. The next prime is 2049544425611. The reversal of 2049544425600 is 65244459402.

It is a happy number.

2049544425600 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 5 + 44 + 42 + 560 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19154620747 + ... + 19154620853.

It is an arithmetic number, because the mean of its divisors is an integer number (3150300600).

Almost surely, 2^{2049544425600} is an apocalyptic number.

2049544425600 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 2049544425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838861721600).

2049544425600 is an abundant number, since it is smaller than the sum of its proper divisors (7628179017600).

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

2049544425600 is a wasteful number, since it uses less digits than its factorization.

2049544425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 2049544425600 in words is "two trillion, forty-nine billion, five hundred forty-four million, four hundred twenty-five thousand, six hundred".