2775358080 has 640 divisors, whose sum is σ = 11232207360. Its totient is φ = 646963200.

The previous prime is 2775358057. The next prime is 2775358147. The reversal of 2775358080 is 808535772.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2775358080² = 15405224944442572800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17677362 + ... + 17677518.

It is an arithmetic number, because the mean of its divisors is an integer number (17550324).

Almost surely, 2^2775358080 is an apocalyptic number.

2775358080 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 2775358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616103680).

2775358080 is an abundant number, since it is smaller than the sum of its proper divisors (8456849280).

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

2775358080 is a wasteful number, since it uses less digits than its factorization.

2775358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 2775358080 is about 52681.6673995803. The cubic root of 2775358080 is about 1405.3128198318.

The spelling of 2775358080 in words is "two billion, seven hundred seventy-five million, three hundred fifty-eight thousand, eighty".