2729470121280 has 672 divisors, whose sum is σ = 10797662992896. Its totient is φ = 619926110208.

The previous prime is 2729470121267. The next prime is 2729470121281. The reversal of 2729470121280 is 821210749272.

2729470121280 is a `hidden beast` number, since 2 + 7 + 294 + 70 + 1 + 212 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729470121281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3112280202 + ... + 3112281078.

Almost surely, 2^{2729470121280} is an apocalyptic number.

2729470121280 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 2729470121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398831496448).

2729470121280 is an abundant number, since it is smaller than the sum of its proper divisors (8068192871616).

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

2729470121280 is a wasteful number, since it uses less digits than its factorization.

2729470121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 2729470121280 in words is "two trillion, seven hundred twenty-nine billion, four hundred seventy million, one hundred twenty-one thousand, two hundred eighty".