2673146304 has 84 divisors (see below), whose sum is σ = 7700924400. Its totient is φ = 886533120.

The previous prime is 2673146303. The next prime is 2673146321. The reversal of 2673146304 is 4036413762.

It is a happy number.

2673146304 is a `hidden beast` number, since 2 + 6 + 7 + 3 + 14 + 630 + 4 = 666.

It is a super-2 number, since 2×2673146304² = 14291422325177720832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2673146303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102964 + ... + 126284.

Almost surely, 2^2673146304 is an apocalyptic number.

2673146304 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 2673146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850462200).

2673146304 is an abundant number, since it is smaller than the sum of its proper divisors (5027778096).

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

2673146304 is a wasteful number, since it uses less digits than its factorization.

2673146304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23538 (or 23525 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2673146304 is about 51702.4787026696. The cubic root of 2673146304 is about 1387.8448226002.

The spelling of 2673146304 in words is "two billion, six hundred seventy-three million, one hundred forty-six thousand, three hundred four".