2761342431672 has 192 divisors, whose sum is σ = 7856089113600. Its totient is φ = 807366067200.

The previous prime is 2761342431637. The next prime is 2761342431677.

2761342431672 is nontrivially palindromic in base 10.

2761342431672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2761342431677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30292579 + ... + 30383597.

It is an arithmetic number, because the mean of its divisors is an integer number (40917130800).

Almost surely, 2^{2761342431672} is an apocalyptic number.

2761342431672 is a gapful number since it is divisible by the number (22) 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 2761342431672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928044556800).

2761342431672 is an abundant number, since it is smaller than the sum of its proper divisors (5094746681928).

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

2761342431672 is a wasteful number, since it uses less digits than its factorization.

2761342431672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91418 (or 91403 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 48.

The spelling of 2761342431672 in words is "two trillion, seven hundred sixty-one billion, three hundred forty-two million, four hundred thirty-one thousand, six hundred seventy-two".