2781812031552 has 252 divisors, whose sum is σ = 8476270982400. Its totient is φ = 872098394112.

The previous prime is 2781812031533. The next prime is 2781812031611. The reversal of 2781812031552 is 2551302181872.

2781812031552 is a `hidden beast` number, since 2 + 7 + 81 + 8 + 12 + 0 + 3 + 1 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2781812031498 and 2781812031507.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 267502449 + ... + 267512847.

Almost surely, 2^{2781812031552} 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 2781812031552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238135491200).

2781812031552 is an abundant number, since it is smaller than the sum of its proper divisors (5694458950848).

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

2781812031552 is a wasteful number, since it uses less digits than its factorization.

2781812031552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12058 (or 12028 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 2781812031552 in words is "two trillion, seven hundred eighty-one billion, eight hundred twelve million, thirty-one thousand, five hundred fifty-two".