2723542080 has 448 divisors, whose sum is σ = 10569000960. Its totient is φ = 580386816.

The previous prime is 2723542067. The next prime is 2723542093. The reversal of 2723542080 is 802453272.

It is an interprime number because it is at equal distance from previous prime (2723542067) and next prime (2723542093).

It is a tau number, because it is divible by the number of its divisors (448).

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, 10597312 + ... + 10597568.

It is an arithmetic number, because the mean of its divisors is an integer number (23591520).

Almost surely, 2^2723542080 is an apocalyptic number.

2723542080 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 2723542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284500480).

2723542080 is an abundant number, since it is smaller than the sum of its proper divisors (7845458880).

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

2723542080 is a wasteful number, since it uses less digits than its factorization.

2723542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2723542080 is about 52187.5663352872. The cubic root of 2723542080 is about 1396.5120794140.

The spelling of 2723542080 in words is "two billion, seven hundred twenty-three million, five hundred forty-two thousand, eighty".