2734481410560 has 1920 divisors, whose sum is σ = 11324875161600. Its totient is φ = 627773276160.

The previous prime is 2734481410547. The next prime is 2734481410571. The reversal of 2734481410560 is 650141844372.

2734481410560 is a `hidden beast` number, since 2 + 7 + 3 + 4 + 4 + 81 + 4 + 1 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 6228886821 + ... + 6228887259.

It is an arithmetic number, because the mean of its divisors is an integer number (5898372480).

Almost surely, 2^{2734481410560} is an apocalyptic number.

2734481410560 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 2734481410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662437580800).

2734481410560 is an abundant number, since it is smaller than the sum of its proper divisors (8590393751040).

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

2734481410560 is a wasteful number, since it uses less digits than its factorization.

2734481410560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2734481410560 in words is "two trillion, seven hundred thirty-four billion, four hundred eighty-one million, four hundred ten thousand, five hundred sixty".