2725218496 has 336 divisors, whose sum is σ = 7588788480. Its totient is φ = 954132480.

The previous prime is 2725218481. The next prime is 2725218497. The reversal of 2725218496 is 6948125272.

It is not an unprimeable number, because it can be changed into a prime (2725218497) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26458381 + ... + 26458483.

It is an arithmetic number, because the mean of its divisors is an integer number (22585680).

Almost surely, 2^2725218496 is an apocalyptic number.

2725218496 is a gapful number since it is divisible by the number (26) 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 2725218496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794394240).

2725218496 is an abundant number, since it is smaller than the sum of its proper divisors (4863569984).

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

2725218496 is a wasteful number, since it uses less digits than its factorization.

2725218496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The square root of 2725218496 is about 52203.6253147231. The cubic root of 2725218496 is about 1396.7985513374.

The spelling of 2725218496 in words is "two billion, seven hundred twenty-five million, two hundred eighteen thousand, four hundred ninety-six".