2741133312000 has 1360 divisors, whose sum is σ = 10866230492832. Its totient is φ = 687970713600.

The previous prime is 2741133311989. The next prime is 2741133312011. The reversal of 2741133312000 is 2133311472.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2741133311989) and next prime (2741133312011).

It is a tau number, because it is divible by the number of its divisors (1360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 161243135992 + ... + 161243136008.

Almost surely, 2^{2741133312000} is an apocalyptic number.

2741133312000 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 2741133312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433115246416).

2741133312000 is an abundant number, since it is smaller than the sum of its proper divisors (8125097180832).

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

2741133312000 is an frugal number, since it uses more digits than its factorization.

2741133312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 2741133312000 its reverse (2133311472), we get a palindrome (2743266623472).

The spelling of 2741133312000 in words is "two trillion, seven hundred forty-one billion, one hundred thirty-three million, three hundred twelve thousand".