2412572000 has 144 divisors (see below), whose sum is σ = 6299905248. Its totient is φ = 907827200.

The previous prime is 2412571999. The next prime is 2412572027. The reversal of 2412572000 is 2752142.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1154957 + ... + 1157043.

It is an arithmetic number, because the mean of its divisors is an integer number (43749342).

Almost surely, 2^2412572000 is an apocalyptic number.

2412572000 is a gapful number since it is divisible by the number (20) 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 2412572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149952624).

2412572000 is an abundant number, since it is smaller than the sum of its proper divisors (3887333248).

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

2412572000 is a wasteful number, since it uses less digits than its factorization.

2412572000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 2412572000 is about 49117.9396962047. The cubic root of 2412572000 is about 1341.1996385536.

The spelling of 2412572000 in words is "two billion, four hundred twelve million, five hundred seventy-two thousand".