2755815648 has 96 divisors (see below), whose sum is σ = 7602731136. Its totient is φ = 872944128.

The previous prime is 2755815631. The next prime is 2755815653. The reversal of 2755815648 is 8465185572.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2755815648³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2755815648.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143715 + ... + 161757.

It is an arithmetic number, because the mean of its divisors is an integer number (79195116).

Almost surely, 2^2755815648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2755815648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801365568).

2755815648 is an abundant number, since it is smaller than the sum of its proper divisors (4846915488).

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

2755815648 is a wasteful number, since it uses less digits than its factorization.

2755815648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18136 (or 18128 counting only the distinct ones).

The product of its digits is 2688000, while the sum is 51.

The square root of 2755815648 is about 52495.8631512998. The cubic root of 2755815648 is about 1402.0065865789.

The spelling of 2755815648 in words is "two billion, seven hundred fifty-five million, eight hundred fifteen thousand, six hundred forty-eight".