2741131627416 has 384 divisors, whose sum is σ = 9695138846400. Its totient is φ = 711082229760.

The previous prime is 2741131627397. The next prime is 2741131627427. The reversal of 2741131627416 is 6147261311472.

2741131627416 is a `hidden beast` number, since 2 + 7 + 4 + 1 + 1 + 3 + 1 + 627 + 4 + 16 = 666.

2741131627416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8229816 + ... + 8556408.

Almost surely, 2^{2741131627416} is an apocalyptic number.

2741131627416 is a gapful number since it is divisible by the number (26) 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 2741131627416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847569423200).

2741131627416 is an abundant number, since it is smaller than the sum of its proper divisors (6954007218984).

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

2741131627416 is a wasteful number, since it uses less digits than its factorization.

2741131627416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326696 (or 326679 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

Adding to 2741131627416 its reverse (6147261311472), we get a palindrome (8888392938888).

The spelling of 2741131627416 in words is "two trillion, seven hundred forty-one billion, one hundred thirty-one million, six hundred twenty-seven thousand, four hundred sixteen".