2674533120 has 576 divisors, whose sum is σ = 10454814720. Its totient is φ = 569769984.

The previous prime is 2674533107. The next prime is 2674533131. The reversal of 2674533120 is 213354762.

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 63 ways as a sum of consecutive naturals, for example, 36637404 + ... + 36637476.

It is an arithmetic number, because the mean of its divisors is an integer number (18150720).

Almost surely, 2^2674533120 is an apocalyptic number.

2674533120 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 2674533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227407360).

2674533120 is an abundant number, since it is smaller than the sum of its proper divisors (7780281600).

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

2674533120 is a wasteful number, since it uses less digits than its factorization.

2674533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 2674533120 is about 51715.8884676653. Note that the first 3 decimals coincide. The cubic root of 2674533120 is about 1388.0847836104.

Adding to 2674533120 its reverse (213354762), we get a palindrome (2887887882).

The spelling of 2674533120 in words is "two billion, six hundred seventy-four million, five hundred thirty-three thousand, one hundred twenty".