2725029734400 has 720 divisors, whose sum is σ = 10624443429600. Its totient is φ = 688408657920.

The previous prime is 2725029734369. The next prime is 2725029734459. The reversal of 2725029734400 is 44379205272.

2725029734400 is a `hidden beast` number, since 2 + 72 + 50 + 2 + 97 + 3 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78779509 + ... + 78814091.

It is an arithmetic number, because the mean of its divisors is an integer number (14756171430).

Almost surely, 2^{2725029734400} is an apocalyptic number.

2725029734400 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 2725029734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312221714800).

2725029734400 is an abundant number, since it is smaller than the sum of its proper divisors (7899413695200).

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

2725029734400 is a wasteful number, since it uses less digits than its factorization.

2725029734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34646 (or 34612 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 2725029734400 in words is "two trillion, seven hundred twenty-five billion, twenty-nine million, seven hundred thirty-four thousand, four hundred".