2756723040 has 144 divisors (see below), whose sum is σ = 9548059248. Its totient is φ = 724128768.

The previous prime is 2756722931. The next prime is 2756723051. The reversal of 2756723040 is 403276572.

It is a happy number.

2756723040 is a `hidden beast` number, since 27 + 567 + 2 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 2756722986 and 2756723004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82194 + ... + 110766.

It is an arithmetic number, because the mean of its divisors is an integer number (66305967).

Almost surely, 2^2756723040 is an apocalyptic number.

2756723040 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 2756723040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774029624).

2756723040 is an abundant number, since it is smaller than the sum of its proper divisors (6791336208).

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

2756723040 is a wasteful number, since it uses less digits than its factorization.

2756723040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28661 (or 28650 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2756723040 is about 52504.5049495755. The cubic root of 2756723040 is about 1402.1604466482.

The spelling of 2756723040 in words is "two billion, seven hundred fifty-six million, seven hundred twenty-three thousand, forty".