2755264669440 has 576 divisors, whose sum is σ = 9473036977152. Its totient is φ = 680008089600.

The previous prime is 2755264669439. The next prime is 2755264669447. The reversal of 2755264669440 is 449664625572.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755264669447) 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 63 ways as a sum of consecutive naturals, for example, 3397366635 + ... + 3397367445.

It is an arithmetic number, because the mean of its divisors is an integer number (16446244752).

Almost surely, 2^{2755264669440} is an apocalyptic number.

2755264669440 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 2755264669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736518488576).

2755264669440 is an abundant number, since it is smaller than the sum of its proper divisors (6717772307712).

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

2755264669440 is a wasteful number, since it uses less digits than its factorization.

2755264669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 60.

The spelling of 2755264669440 in words is "two trillion, seven hundred fifty-five billion, two hundred sixty-four million, six hundred sixty-nine thousand, four hundred forty".