1824874272 has 240 divisors, whose sum is σ = 5969601792. Its totient is φ = 543075840.

The previous prime is 1824874229. The next prime is 1824874273. The reversal of 1824874272 is 2724784281.

1824874272 is a `hidden beast` number, since 182 + 48 + 7 + 427 + 2 = 666.

It is a super-2 number, since 2×1824874272² = 6660332217215059968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1824874273) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1043703 + ... + 1045449.

Almost surely, 2^1824874272 is an apocalyptic number.

1824874272 is a gapful number since it is divisible by the number (12) 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 1824874272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984800896).

1824874272 is an abundant number, since it is smaller than the sum of its proper divisors (4144727520).

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

1824874272 is a wasteful number, since it uses less digits than its factorization.

1824874272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1796 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 1824874272 is about 42718.5471663070. The cubic root of 1824874272 is about 1222.0181306871.

It can be divided in two parts, 1824 and 874272, that added together give a square (876096 = 936²).

The spelling of 1824874272 in words is "one billion, eight hundred twenty-four million, eight hundred seventy-four thousand, two hundred seventy-two".