2741726706540 has 192 divisors, whose sum is σ = 8067257856000. Its totient is φ = 694410551296.

The previous prime is 2741726706461. The next prime is 2741726706553. The reversal of 2741726706540 is 456076271472.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116414686 + ... + 116438234.

It is an arithmetic number, because the mean of its divisors is an integer number (42016968000).

Almost surely, 2^{2741726706540} is an apocalyptic number.

2741726706540 is a gapful number since it is divisible by the number (20) 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 2741726706540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033628928000).

2741726706540 is an abundant number, since it is smaller than the sum of its proper divisors (5325531149460).

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

2741726706540 is a wasteful number, since it uses less digits than its factorization.

2741726706540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24176 (or 24174 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 2741726706540 in words is "two trillion, seven hundred forty-one billion, seven hundred twenty-six million, seven hundred six thousand, five hundred forty".