2631135464226 has 64 divisors (see below), whose sum is σ = 5955827016960. Its totient is φ = 860779198080.

The previous prime is 2631135464183. The next prime is 2631135464261. The reversal of 2631135464226 is 6224645311362.

2631135464226 is a `hidden beast` number, since 2 + 6 + 3 + 11 + 354 + 64 + 226 = 666.

It is a super-2 number, since 2×2631135464226² (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 631435 + ... + 2379281.

It is an arithmetic number, because the mean of its divisors is an integer number (93059797140).

Almost surely, 2^{2631135464226} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631135464226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977913508480).

2631135464226 is an abundant number, since it is smaller than the sum of its proper divisors (3324691552734).

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

2631135464226 is a wasteful number, since it uses less digits than its factorization.

2631135464226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748376 (or 1748370 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 2631135464226 in words is "two trillion, six hundred thirty-one billion, one hundred thirty-five million, four hundred sixty-four thousand, two hundred twenty-six".