2745575820 has 144 divisors (see below), whose sum is σ = 9496599840. Its totient is φ = 636069888.

The previous prime is 2745575773. The next prime is 2745575839. The reversal of 2745575820 is 285755472.

2745575820 is a `hidden beast` number, since 2 + 74 + 5 + 575 + 8 + 2 + 0 = 666.

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

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, 5271 + ... + 74289.

It is an arithmetic number, because the mean of its divisors is an integer number (65948610).

Almost surely, 2^2745575820 is an apocalyptic number.

2745575820 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 2745575820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748299920).

2745575820 is an abundant number, since it is smaller than the sum of its proper divisors (6751024020).

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

2745575820 is a wasteful number, since it uses less digits than its factorization.

2745575820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69064 (or 69059 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The square root of 2745575820 is about 52398.2425277795. The cubic root of 2745575820 is about 1400.2679453134.

The spelling of 2745575820 in words is "two billion, seven hundred forty-five million, five hundred seventy-five thousand, eight hundred twenty".