2412507240 has 640 divisors, whose sum is σ = 9835499520. Its totient is φ = 522547200.

The previous prime is 2412507169. The next prime is 2412507269. The reversal of 2412507240 is 427052142.

2412507240 is a `hidden beast` number, since 2 + 412 + 5 + 0 + 7 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 18996057 + ... + 18996183.

It is an arithmetic number, because the mean of its divisors is an integer number (15367968).

Almost surely, 2^2412507240 is an apocalyptic number.

2412507240 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 2412507240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917749760).

2412507240 is an abundant number, since it is smaller than the sum of its proper divisors (7422992280).

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

2412507240 is a wasteful number, since it uses less digits than its factorization.

2412507240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2412507240 is about 49117.2804621754. The cubic root of 2412507240 is about 1341.1876379631.

Adding to 2412507240 its reverse (427052142), we get a palindrome (2839559382).

The spelling of 2412507240 in words is "two billion, four hundred twelve million, five hundred seven thousand, two hundred forty".