2725872240 has 320 divisors, whose sum is σ = 10949299200. Its totient is φ = 544776192.

The previous prime is 2725872229. The next prime is 2725872283. The reversal of 2725872240 is 422785272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411676 + ... + 418244.

It is an arithmetic number, because the mean of its divisors is an integer number (34216560).

Almost surely, 2^2725872240 is an apocalyptic number.

2725872240 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 2725872240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474649600).

2725872240 is an abundant number, since it is smaller than the sum of its proper divisors (8223426960).

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

2725872240 is a wasteful number, since it uses less digits than its factorization.

2725872240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624 (or 6618 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 2725872240 is about 52209.8864201025. The cubic root of 2725872240 is about 1396.9102335952.

The spelling of 2725872240 in words is "two billion, seven hundred twenty-five million, eight hundred seventy-two thousand, two hundred forty".