2731461948504 has 64 divisors (see below), whose sum is σ = 7594151337600. Its totient is φ = 909676471968.

The previous prime is 2731461948463. The next prime is 2731461948583. The reversal of 2731461948504 is 4058491641372.

2731461948504 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 46 + 1 + 94 + 8 + 504 = 666.

It is a super-2 number, since 2×2731461948504² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5387734 + ... + 5872869.

It is an arithmetic number, because the mean of its divisors is an integer number (118658614650).

It is a 1-persistent number, because it is pandigital, but 2⋅2731461948504 = 5462923897008 is not.

Almost surely, 2^{2731461948504} is an apocalyptic number.

2731461948504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2731461948504 is an abundant number, since it is smaller than the sum of its proper divisors (4862689389096).

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

2731461948504 is a wasteful number, since it uses less digits than its factorization.

2731461948504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11261741 (or 11261731 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2731461948504 in words is "two trillion, seven hundred thirty-one billion, four hundred sixty-one million, nine hundred forty-eight thousand, five hundred four".