2741021245664 has 96 divisors (see below), whose sum is σ = 6065389983744. Its totient is φ = 1209838671360.

The previous prime is 2741021245657. The next prime is 2741021245667. The reversal of 2741021245664 is 4665421201472.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2741021245667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52320347 + ... + 52372709.

It is an arithmetic number, because the mean of its divisors is an integer number (63181145664).

Almost surely, 2^{2741021245664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2741021245664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032694991872).

2741021245664 is an abundant number, since it is smaller than the sum of its proper divisors (3324368738080).

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

2741021245664 is a wasteful number, since it uses less digits than its factorization.

2741021245664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57880 (or 57872 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 2741021245664 in words is "two trillion, seven hundred forty-one billion, twenty-one million, two hundred forty-five thousand, six hundred sixty-four".