2725360320480 has 384 divisors, whose sum is σ = 10081393394688. Its totient is φ = 605807050752.

The previous prime is 2725360320461. The next prime is 2725360320491. The reversal of 2725360320480 is 840230635272.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342248979 + ... + 342256941.

It is an arithmetic number, because the mean of its divisors is an integer number (26253628632).

Almost surely, 2^{2725360320480} is an apocalyptic number.

2725360320480 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 2725360320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040696697344).

2725360320480 is an abundant number, since it is smaller than the sum of its proper divisors (7356033074208).

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

2725360320480 is a wasteful number, since it uses less digits than its factorization.

2725360320480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10778 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 2725360320480 in words is "two trillion, seven hundred twenty-five billion, three hundred sixty million, three hundred twenty thousand, four hundred eighty".