2725643520 has 504 divisors, whose sum is σ = 10294695936. Its totient is φ = 689762304.

The previous prime is 2725643491. The next prime is 2725643527. The reversal of 2725643520 is 253465272.

2725643520 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 643 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2725643527) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 21461697 + ... + 21461823.

It is an arithmetic number, because the mean of its divisors is an integer number (20425984).

Almost surely, 2^2725643520 is an apocalyptic number.

2725643520 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 2725643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147347968).

2725643520 is an abundant number, since it is smaller than the sum of its proper divisors (7569052416).

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

2725643520 is an equidigital number, since it uses as much as digits as its factorization.

2725643520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2725643520 is about 52207.6959844044. The cubic root of 2725643520 is about 1396.8711622794.

The spelling of 2725643520 in words is "two billion, seven hundred twenty-five million, six hundred forty-three thousand, five hundred twenty".