2741263976448 has 768 divisors, whose sum is σ = 9344305152000. Its totient is φ = 788299776000.

The previous prime is 2741263976413. The next prime is 2741263976483. The reversal of 2741263976448 is 8446793621472.

2741263976448 is a `hidden beast` number, since 2 + 7 + 41 + 2 + 63 + 97 + 6 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (2741263976413) and next prime (2741263976483).

It is a tau number, because it is divible by the number of its divisors (768).

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, 553676373 + ... + 553681323.

It is an arithmetic number, because the mean of its divisors is an integer number (12167064000).

Almost surely, 2^{2741263976448} 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 2741263976448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672152576000).

2741263976448 is an abundant number, since it is smaller than the sum of its proper divisors (6603041175552).

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

2741263976448 is a wasteful number, since it uses less digits than its factorization.

2741263976448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5049 (or 5023 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 2741263976448 in words is "two trillion, seven hundred forty-one billion, two hundred sixty-three million, nine hundred seventy-six thousand, four hundred forty-eight".