2741365186560 has 5376 divisors, whose sum is σ = 14838877347840. Its totient is φ = 448454983680.

The previous prime is 2741365186487. The next prime is 2741365186621. The reversal of 2741365186560 is 656815631472.

It is a happy number.

2741365186560 is a `hidden beast` number, since 2 + 7 + 4 + 1 + 3 + 6 + 518 + 65 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-3 number, since 3×2741365186560³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2741365186497 and 2741365186506.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 119189790709 + ... + 119189790731.

It is an arithmetic number, because the mean of its divisors is an integer number (2760207840).

Almost surely, 2^{2741365186560} is an apocalyptic number.

2741365186560 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 2741365186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419438673920).

2741365186560 is an abundant number, since it is smaller than the sum of its proper divisors (12097512161280).

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

2741365186560 is a wasteful number, since it uses less digits than its factorization.

2741365186560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2741365186560 in words is "two trillion, seven hundred forty-one billion, three hundred sixty-five million, one hundred eighty-six thousand, five hundred sixty".