2674146384 has 180 divisors, whose sum is σ = 9375751476. Its totient is φ = 705245184.

The previous prime is 2674146341. The next prime is 2674146413. The reversal of 2674146384 is 4836414762.

2674146384 is a `hidden beast` number, since 2 + 6 + 7 + 4 + 1 + 4 + 638 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 176145984 + 2498000400 = 13272^2 + 49980^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77152 + ... + 106304.

Almost surely, 2^2674146384 is an apocalyptic number.

2674146384 is a gapful number since it is divisible by the number (24) 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 2674146384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687875738).

2674146384 is an abundant number, since it is smaller than the sum of its proper divisors (6701605092).

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

2674146384 is a wasteful number, since it uses less digits than its factorization.

2674146384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29194 (or 29178 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2674146384 is about 51712.1492881508. The cubic root of 2674146384 is about 1388.0178749563.

The spelling of 2674146384 in words is "two billion, six hundred seventy-four million, one hundred forty-six thousand, three hundred eighty-four".