2102331431440 has 40 divisors (see below), whose sum is σ = 4908898821528. Its totient is φ = 837323412480.

The previous prime is 2102331431411. The next prime is 2102331431443. The reversal of 2102331431440 is 441341332012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 106644046096 + 1995687385344 = 326564^2 + 1412688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2102331431399 and 2102331431408.

It is not an unprimeable number, because it can be changed into a prime (2102331431443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 56374371 + ... + 56411650.

Almost surely, 2^{2102331431440} is an apocalyptic number.

2102331431440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102331431440 is an abundant number, since it is smaller than the sum of its proper divisors (2806567390088).

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

2102331431440 is a wasteful number, since it uses less digits than its factorization.

2102331431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112786267 (or 112786261 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 2102331431440 its reverse (441341332012), we get a palindrome (2543672763452).

The spelling of 2102331431440 in words is "two trillion, one hundred two billion, three hundred thirty-one million, four hundred thirty-one thousand, four hundred forty".