2775409920 has 216 divisors, whose sum is σ = 9959398176. Its totient is φ = 740026368.

The previous prime is 2775409913. The next prime is 2775409937. The reversal of 2775409920 is 299045772.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 306579 + ... + 315501.

Almost surely, 2^2775409920 is an apocalyptic number.

2775409920 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 2775409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979699088).

2775409920 is an abundant number, since it is smaller than the sum of its proper divisors (7183988256).

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

2775409920 is an frugal number, since it uses more digits than its factorization.

2775409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8959 (or 8933 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 2775409920 is about 52682.1594090447. The cubic root of 2775409920 is about 1405.3215695692.

The spelling of 2775409920 in words is "two billion, seven hundred seventy-five million, four hundred nine thousand, nine hundred twenty".