2631063434496 has 288 divisors, whose sum is σ = 8265155813376. Its totient is φ = 727114752000.

The previous prime is 2631063434413. The next prime is 2631063434497. The reversal of 2631063434496 is 6944343601362.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2631063434497) 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 31 ways as a sum of consecutive naturals, for example, 595126366 + ... + 595130786.

Almost surely, 2^{2631063434496} 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 2631063434496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132577906688).

2631063434496 is an abundant number, since it is smaller than the sum of its proper divisors (5634092378880).

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

2631063434496 is a wasteful number, since it uses less digits than its factorization.

2631063434496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8049 (or 8035 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 51.

The spelling of 2631063434496 in words is "two trillion, six hundred thirty-one billion, sixty-three million, four hundred thirty-four thousand, four hundred ninety-six".