2741532792768 has 1680 divisors, whose sum is σ = 10658377748480. Its totient is φ = 690049704960.

The previous prime is 2741532792749. The next prime is 2741532792797. The reversal of 2741532792768 is 8672972351472.

It is a happy number.

2741532792768 is a `hidden beast` number, since 2 + 7 + 4 + 1 + 532 + 7 + 92 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21586872321 + ... + 21586872447.

Almost surely, 2^{2741532792768} is an apocalyptic number.

2741532792768 is a gapful number since it is divisible by the number (28) 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 2741532792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329188874240).

2741532792768 is an abundant number, since it is smaller than the sum of its proper divisors (7916844955712).

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

2741532792768 is a wasteful number, since it uses less digits than its factorization.

2741532792768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 193 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 2741532792768 in words is "two trillion, seven hundred forty-one billion, five hundred thirty-two million, seven hundred ninety-two thousand, seven hundred sixty-eight".