2031348759552 has 528 divisors, whose sum is σ = 7073842464000. Its totient is φ = 548465541120.

The previous prime is 2031348759541. The next prime is 2031348759607. The reversal of 2031348759552 is 2559578431302.

2031348759552 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 3 + 4 + 87 + 5 + 9 + 552 = 666.

It is a super-2 number, since 2×2031348759552² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 550350027 + ... + 550353717.

Almost surely, 2^{2031348759552} 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 2031348759552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536921232000).

2031348759552 is an abundant number, since it is smaller than the sum of its proper divisors (5042493704448).

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

2031348759552 is a wasteful number, since it uses less digits than its factorization.

2031348759552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 2031348759552 in words is "two trillion, thirty-one billion, three hundred forty-eight million, seven hundred fifty-nine thousand, five hundred fifty-two".