2431776461940 has 108 divisors (see below), whose sum is σ = 8580696975396. Its totient is φ = 555834617856.

The previous prime is 2431776461921. The next prime is 2431776461951. The reversal of 2431776461940 is 491646771342.

2431776461940 is a `hidden beast` number, since 2 + 4 + 3 + 17 + 7 + 6 + 4 + 619 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 455317251984 + 1976459209956 = 674772^2 + 1405866^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 137846989 + ... + 137864628.

Almost surely, 2^{2431776461940} is an apocalyptic number.

2431776461940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2431776461940 is an abundant number, since it is smaller than the sum of its proper divisors (6148920513456).

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

2431776461940 is a wasteful number, since it uses less digits than its factorization.

2431776461940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275711646 (or 275711634 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2431776461940 in words is "two trillion, four hundred thirty-one billion, seven hundred seventy-six million, four hundred sixty-one thousand, nine hundred forty".