2729074137075 has 216 divisors, whose sum is σ = 5798359957104. Its totient is φ = 1216290816000.

The previous prime is 2729074137007. The next prime is 2729074137149. The reversal of 2729074137075 is 5707314709272.

2729074137075 is a `hidden beast` number, since 2 + 7 + 2 + 90 + 7 + 413 + 70 + 75 = 666.

It is not a de Polignac number, because 2729074137075 - 2¹⁴ = 2729074120691 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 100790739 + ... + 100817811.

Almost surely, 2^{2729074137075} is an apocalyptic number.

2729074137075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2729074137075 is an abundant number, since it is smaller than the sum of its proper divisors (3069285820029).

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

2729074137075 is a wasteful number, since it uses less digits than its factorization.

2729074137075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27367 (or 27346 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 2729074137075 in words is "two trillion, seven hundred twenty-nine billion, seventy-four million, one hundred thirty-seven thousand, seventy-five".