2741434618944 has 224 divisors, whose sum is σ = 8792490009600. Its totient is φ = 736377108480.

The previous prime is 2741434618907. The next prime is 2741434619051. The reversal of 2741434618944 is 4498164341472.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2935462 + ... + 3754970.

Almost surely, 2^{2741434618944} is an apocalyptic number.

2741434618944 is a gapful number since it is divisible by the number (24) 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 2741434618944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396245004800).

2741434618944 is an abundant number, since it is smaller than the sum of its proper divisors (6051055390656).

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

2741434618944 is a wasteful number, since it uses less digits than its factorization.

2741434618944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819681 (or 819671 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 57.

The spelling of 2741434618944 in words is "two trillion, seven hundred forty-one billion, four hundred thirty-four million, six hundred eighteen thousand, nine hundred forty-four".