2431361444064 has 96 divisors (see below), whose sum is σ = 7294416062976. Its totient is φ = 694643105280.

The previous prime is 2431361444053. The next prime is 2431361444087. The reversal of 2431361444064 is 4604441631342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 17497549 + ... + 17635955.

It is an arithmetic number, because the mean of its divisors is an integer number (75983500656).

Almost surely, 2^{2431361444064} is an apocalyptic number.

2431361444064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2431361444064 is an abundant number, since it is smaller than the sum of its proper divisors (4863054618912).

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

2431361444064 is a wasteful number, since it uses less digits than its factorization.

2431361444064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164568 (or 164560 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 2431361444064 in words is "two trillion, four hundred thirty-one billion, three hundred sixty-one million, four hundred forty-four thousand, sixty-four".