2755105920 has 256 divisors, whose sum is σ = 11152108800. Its totient is φ = 629710848.

The previous prime is 2755105907. The next prime is 2755105967. The reversal of 2755105920 is 295015572.

2755105920 is a `hidden beast` number, since 2 + 7 + 55 + 10 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109572 + ... + 132348.

It is an arithmetic number, because the mean of its divisors is an integer number (43562925).

Almost surely, 2^2755105920 is an apocalyptic number.

2755105920 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 2755105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576054400).

2755105920 is an abundant number, since it is smaller than the sum of its proper divisors (8397002880).

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

2755105920 is a wasteful number, since it uses less digits than its factorization.

2755105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22812 (or 22794 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 2755105920 is about 52489.1028690718. The cubic root of 2755105920 is about 1401.8862194607.

The spelling of 2755105920 in words is "two billion, seven hundred fifty-five million, one hundred five thousand, nine hundred twenty".