2755079040 has 256 divisors, whose sum is σ = 10565568000. Its totient is φ = 596533248.

The previous prime is 2755078999. The next prime is 2755079071. The reversal of 2755079040 is 409705572.

It is a self number, because there is not a number n which added to its sum of digits gives 2755079040.

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 31 ways as a sum of consecutive naturals, for example, 249966 + ... + 260754.

It is an arithmetic number, because the mean of its divisors is an integer number (41271750).

Almost surely, 2^2755079040 is an apocalyptic number.

2755079040 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 2755079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282784000).

2755079040 is an abundant number, since it is smaller than the sum of its proper divisors (7810488960).

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

2755079040 is a wasteful number, since it uses less digits than its factorization.

2755079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10837 (or 10825 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 2755079040 is about 52488.8468152997. The cubic root of 2755079040 is about 1401.8816603106.

The spelling of 2755079040 in words is "two billion, seven hundred fifty-five million, seventy-nine thousand, forty".