2412493272 has 192 divisors, whose sum is σ = 7645397760. Its totient is φ = 673056000.

The previous prime is 2412493271. The next prime is 2412493297. The reversal of 2412493272 is 2723942142.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412493271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4224747 + ... + 4225317.

It is an arithmetic number, because the mean of its divisors is an integer number (39819780).

Almost surely, 2^2412493272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412493272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822698880).

2412493272 is an abundant number, since it is smaller than the sum of its proper divisors (5232904488).

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

2412493272 is a wasteful number, since it uses less digits than its factorization.

2412493272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 767 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2412493272 is about 49117.1382716868. The cubic root of 2412493272 is about 1341.1850495432.

The spelling of 2412493272 in words is "two billion, four hundred twelve million, four hundred ninety-three thousand, two hundred seventy-two".