2755380960 has 288 divisors, whose sum is σ = 9722643840. Its totient is φ = 710221824.

The previous prime is 2755380937. The next prime is 2755380977. The reversal of 2755380960 is 690835572.

It is a happy number.

2755380960 is a `hidden beast` number, since 2 + 7 + 553 + 8 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6029052 + ... + 6029508.

It is an arithmetic number, because the mean of its divisors is an integer number (33759180).

Almost surely, 2^2755380960 is an apocalyptic number.

2755380960 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 2755380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861321920).

2755380960 is an abundant number, since it is smaller than the sum of its proper divisors (6967262880).

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

2755380960 is a wasteful number, since it uses less digits than its factorization.

2755380960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2755380960 is about 52491.7227760720. The cubic root of 2755380960 is about 1401.9328676317.

The spelling of 2755380960 in words is "two billion, seven hundred fifty-five million, three hundred eighty thousand, nine hundred sixty".