2725898644224 has 1728 divisors, whose sum is σ = 10445984640000. Its totient is φ = 678893322240.

The previous prime is 2725898644213. The next prime is 2725898644229. The reversal of 2725898644224 is 4224468985272.

It is a happy number.

2725898644224 is a `hidden beast` number, since 2 + 7 + 2 + 589 + 8 + 6 + 4 + 42 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (123863040) is a multiple of the sum of its prime divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2725898644229) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15060213414 + ... + 15060213594.

It is an arithmetic number, because the mean of its divisors is an integer number (6045130000).

Almost surely, 2^{2725898644224} is an apocalyptic number.

2725898644224 is a gapful number since it is divisible by the number (24) 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 2725898644224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222992320000).

2725898644224 is an abundant number, since it is smaller than the sum of its proper divisors (7720085995776).

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

2725898644224 is a wasteful number, since it uses less digits than its factorization.

2725898644224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 288 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 2725898644224 in words is "two trillion, seven hundred twenty-five billion, eight hundred ninety-eight million, six hundred forty-four thousand, two hundred twenty-four".