2729540136960 has 1248 divisors, whose sum is σ = 11702934891648. Its totient is φ = 573025812480.

The previous prime is 2729540136907. The next prime is 2729540137031. The reversal of 2729540136960 is 696310459272.

2729540136960 is a `hidden beast` number, since 2 + 7 + 2 + 9 + 540 + 1 + 3 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a junction number, because it is equal to n+sod(n) for n = 2729540136897 and 2729540136906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5920911130 + ... + 5920911590.

It is an arithmetic number, because the mean of its divisors is an integer number (9377351676).

Almost surely, 2^{2729540136960} is an apocalyptic number.

2729540136960 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 2729540136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851467445824).

2729540136960 is an abundant number, since it is smaller than the sum of its proper divisors (8973394754688).

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

2729540136960 is a wasteful number, since it uses less digits than its factorization.

2729540136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 2729540136960 in words is "two trillion, seven hundred twenty-nine billion, five hundred forty million, one hundred thirty-six thousand, nine hundred sixty".