2755969920 has 512 divisors, whose sum is σ = 10839744000. Its totient is φ = 664381440.

The previous prime is 2755969919. The next prime is 2755969927. The reversal of 2755969920 is 299695572.

It is a happy number.

2755969920 is a `hidden beast` number, since 2 + 7 + 559 + 69 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755969927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15396391 + ... + 15396569.

It is an arithmetic number, because the mean of its divisors is an integer number (21171375).

Almost surely, 2^2755969920 is an apocalyptic number.

2755969920 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 2755969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419872000).

2755969920 is an abundant number, since it is smaller than the sum of its proper divisors (8083774080).

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

2755969920 is an equidigital number, since it uses as much as digits as its factorization.

2755969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The square root of 2755969920 is about 52497.3325036616. The cubic root of 2755969920 is about 1402.0327477778.

It can be divided in two parts, 27559 and 69920, that added together give a palindrome (97479).

The spelling of 2755969920 in words is "two billion, seven hundred fifty-five million, nine hundred sixty-nine thousand, nine hundred twenty".