2049172950528 has 1280 divisors, whose sum is σ = 7079602590720. Its totient is φ = 586925015040.

The previous prime is 2049172950523. The next prime is 2049172950679. The reversal of 2049172950528 is 8250592719402.

2049172950528 is a `hidden beast` number, since 2 + 0 + 4 + 91 + 7 + 29 + 5 + 0 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049172950523) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 28070862300 + ... + 28070862372.

It is an arithmetic number, because the mean of its divisors is an integer number (5530939524).

Almost surely, 2^{2049172950528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2049172950528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539801295360).

2049172950528 is an abundant number, since it is smaller than the sum of its proper divisors (5030429640192).

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

2049172950528 is an frugal number, since it uses more digits than its factorization.

2049172950528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 2049172950528 in words is "two trillion, forty-nine billion, one hundred seventy-two million, nine hundred fifty thousand, five hundred twenty-eight".