2741934424320 has 432 divisors, whose sum is σ = 11676075220992. Its totient is φ = 578517811200.

The previous prime is 2741934424291. The next prime is 2741934424343. The reversal of 2741934424320 is 234244391472.

2741934424320 is a `hidden beast` number, since 2 + 7 + 4 + 193 + 4 + 424 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259456 + ... + 2356095.

Almost surely, 2^{2741934424320} is an apocalyptic number.

2741934424320 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 2741934424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838037610496).

2741934424320 is an abundant number, since it is smaller than the sum of its proper divisors (8934140796672).

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

2741934424320 is a wasteful number, since it uses less digits than its factorization.

2741934424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615598 (or 2615581 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2741934424320 in words is "two trillion, seven hundred forty-one billion, nine hundred thirty-four million, four hundred twenty-four thousand, three hundred twenty".