2673268224 has 320 divisors, whose sum is σ = 8463958272. Its totient is φ = 740556800.

The previous prime is 2673268217. The next prime is 2673268231. The reversal of 2673268224 is 4228623762.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2673268217) and next prime (2673268231).

It is a super-2 number, since 2×2673268224² = 14292725994896228352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11776399 + ... + 11776625.

Almost surely, 2^2673268224 is an apocalyptic number.

2673268224 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 2673268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231979136).

2673268224 is an abundant number, since it is smaller than the sum of its proper divisors (5790690048).

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

2673268224 is a wasteful number, since it uses less digits than its factorization.

2673268224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 2673268224 is about 51703.6577429489. The cubic root of 2673268224 is about 1387.8659217657.

The spelling of 2673268224 in words is "two billion, six hundred seventy-three million, two hundred sixty-eight thousand, two hundred twenty-four".