2755474920 has 432 divisors, whose sum is σ = 10596107340. Its totient is φ = 618393600.

The previous prime is 2755474913. The next prime is 2755474927. The reversal of 2755474920 is 294745572.

2755474920 is a `hidden beast` number, since 2 + 7 + 554 + 7 + 4 + 92 + 0 = 666.

2755474920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2755474913) and next prime (2755474927).

It can be written as a sum of positive squares in 6 ways, for example, as 179506404 + 2575968516 = 13398^2 + 50754^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2755474927) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 45171690 + ... + 45171750.

Almost surely, 2^2755474920 is an apocalyptic number.

2755474920 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 2755474920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298053670).

2755474920 is an abundant number, since it is smaller than the sum of its proper divisors (7840632420).

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

2755474920 is a wasteful number, since it uses less digits than its factorization.

2755474920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2755474920 is about 52492.6177666917. The cubic root of 2755474920 is about 1401.9488030101.

The spelling of 2755474920 in words is "two billion, seven hundred fifty-five million, four hundred seventy-four thousand, nine hundred twenty".