2734443431412 has 192 divisors, whose sum is σ = 8470006272000. Its totient is φ = 679364568960.

The previous prime is 2734443431347. The next prime is 2734443431417. The reversal of 2734443431412 is 2141343444372.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734443431417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271587 + ... + 2354282.

It is an arithmetic number, because the mean of its divisors is an integer number (44114616000).

Almost surely, 2^{2734443431412} is an apocalyptic number.

2734443431412 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 2734443431412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235003136000).

2734443431412 is an abundant number, since it is smaller than the sum of its proper divisors (5735562840588).

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

2734443431412 is a wasteful number, since it uses less digits than its factorization.

2734443431412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625931 (or 2625915 counting only the distinct ones).

The product of its digits is 774144, while the sum is 42.

Adding to 2734443431412 its reverse (2141343444372), we get a palindrome (4875786875784).

The spelling of 2734443431412 in words is "two trillion, seven hundred thirty-four billion, four hundred forty-three million, four hundred thirty-one thousand, four hundred twelve".