2774561120 has 72 divisors (see below), whose sum is σ = 6655917744. Its totient is φ = 1092976896.

The previous prime is 2774561117. The next prime is 2774561189. The reversal of 2774561120 is 211654772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 716309 + ... + 720171.

It is an arithmetic number, because the mean of its divisors is an integer number (92443302).

Almost surely, 2^2774561120 is an apocalyptic number.

2774561120 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 2774561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327958872).

2774561120 is an abundant number, since it is smaller than the sum of its proper divisors (3881356624).

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

2774561120 is an equidigital number, since it uses as much as digits as its factorization.

2774561120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 2774561120 is about 52674.1029349338. The cubic root of 2774561120 is about 1405.1782924072.

The spelling of 2774561120 in words is "two billion, seven hundred seventy-four million, five hundred sixty-one thousand, one hundred twenty".