2734145256960 has 960 divisors, whose sum is σ = 10425373358400. Its totient is φ = 658158649344.

The previous prime is 2734145256959. The next prime is 2734145256967. The reversal of 2734145256960 is 696525414372.

It is a happy number.

2734145256960 is a `hidden beast` number, since 2 + 7 + 3 + 4 + 14 + 5 + 2 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 2734145256897 and 2734145256906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734145256967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2709756936 + ... + 2709757944.

It is an arithmetic number, because the mean of its divisors is an integer number (10859763915).

Almost surely, 2^{2734145256960} is an apocalyptic number.

2734145256960 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 2734145256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212686679200).

2734145256960 is an abundant number, since it is smaller than the sum of its proper divisors (7691228101440).

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

2734145256960 is a wasteful number, since it uses less digits than its factorization.

2734145256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 2734145256960 in words is "two trillion, seven hundred thirty-four billion, one hundred forty-five million, two hundred fifty-six thousand, nine hundred sixty".