2631344405424 has 160 divisors (see below), whose sum is σ = 7797207613440. Its totient is φ = 749061098496.

The previous prime is 2631344405401. The next prime is 2631344405471. The reversal of 2631344405424 is 4245044431362.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 128291682 + ... + 128312190.

It is an arithmetic number, because the mean of its divisors is an integer number (48732547584).

Almost surely, 2^{2631344405424} is an apocalyptic number.

2631344405424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631344405424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898603806720).

2631344405424 is an abundant number, since it is smaller than the sum of its proper divisors (5165863208016).

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

2631344405424 is a wasteful number, since it uses less digits than its factorization.

2631344405424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21907 (or 21901 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

Adding to 2631344405424 its reverse (4245044431362), we get a palindrome (6876388836786).

The spelling of 2631344405424 in words is "two trillion, six hundred thirty-one billion, three hundred forty-four million, four hundred five thousand, four hundred twenty-four".