2752726080 has 504 divisors, whose sum is σ = 10200753792. Its totient is φ = 628273152.

The previous prime is 2752726069. The next prime is 2752726087. The reversal of 2752726080 is 806272572.

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

It is not an unprimeable number, because it can be changed into a prime (2752726087) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58568617 + ... + 58568663.

Almost surely, 2^2752726080 is an apocalyptic number.

2752726080 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 2752726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100376896).

2752726080 is an abundant number, since it is smaller than the sum of its proper divisors (7448027712).

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

2752726080 is a wasteful number, since it uses less digits than its factorization.

2752726080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 2752726080 is about 52466.4281231341. The cubic root of 2752726080 is about 1401.4824568865.

The spelling of 2752726080 in words is "two billion, seven hundred fifty-two million, seven hundred twenty-six thousand, eighty".