2412272000 has 64 divisors (see below), whose sum is σ = 5997551040. Its totient is φ = 964902400.

The previous prime is 2412271987. The next prime is 2412272003. The reversal of 2412272000 is 2722142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412272003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59384 + ... + 91383.

It is an arithmetic number, because the mean of its divisors is an integer number (93711735).

Almost surely, 2^2412272000 is an apocalyptic number.

2412272000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2412272000 is an abundant number, since it is smaller than the sum of its proper divisors (3585279040).

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

2412272000 is an equidigital number, since it uses as much as digits as its factorization.

2412272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150796 (or 150774 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 2412272000 is about 49114.8857272416. The cubic root of 2412272000 is about 1341.1440441408.

Adding to 2412272000 its reverse (2722142), we get a palindrome (2414994142).

The spelling of 2412272000 in words is "two billion, four hundred twelve million, two hundred seventy-two thousand".