2412424100 has 36 divisors (see below), whose sum is σ = 5542903044. Its totient is φ = 908206080.

The previous prime is 2412424097. The next prime is 2412424109. The reversal of 2412424100 is 14242142.

It can be written as a sum of positive squares in 6 ways, for example, as 12208036 + 2400216064 = 3494^2 + 48992^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2412424109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 707837 + ... + 711236.

It is an arithmetic number, because the mean of its divisors is an integer number (153969529).

Almost surely, 2^2412424100 is an apocalyptic number.

2412424100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2412424100 is an abundant number, since it is smaller than the sum of its proper divisors (3130478944).

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

2412424100 is a wasteful number, since it uses less digits than its factorization.

2412424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419104 (or 1419097 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2412424100 is about 49116.4341132375. The cubic root of 2412424100 is about 1341.1722310841.

Adding to 2412424100 its reverse (14242142), we get a palindrome (2426666242).

The spelling of 2412424100 in words is "two billion, four hundred twelve million, four hundred twenty-four thousand, one hundred".