2631031553268 has 120 divisors (see below), whose sum is σ = 6935661207552. Its totient is φ = 869669752896.

The previous prime is 2631031553243. The next prime is 2631031553279. The reversal of 2631031553268 is 8623551301362.

2631031553268 is a `hidden beast` number, since 2 + 6 + 3 + 1 + 0 + 31 + 553 + 2 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88165246 + ... + 88195082.

Almost surely, 2^{2631031553268} 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 2631031553268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467830603776).

2631031553268 is an abundant number, since it is smaller than the sum of its proper divisors (4304629654284).

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

2631031553268 is a wasteful number, since it uses less digits than its factorization.

2631031553268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32123 (or 32112 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 2631031553268 in words is "two trillion, six hundred thirty-one billion, thirty-one million, five hundred fifty-three thousand, two hundred sixty-eight".