2426424000 has 896 divisors, whose sum is σ = 10863949824. Its totient is φ = 460800000.

The previous prime is 2426423977. The next prime is 2426424001. The reversal of 2426424000 is 4246242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2426424001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24023950 + ... + 24024050.

It is an arithmetic number, because the mean of its divisors is an integer number (12124944).

Almost surely, 2^2426424000 is an apocalyptic number.

2426424000 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 2426424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5431974912).

2426424000 is an abundant number, since it is smaller than the sum of its proper divisors (8437525824).

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

2426424000 is a wasteful number, since it uses less digits than its factorization.

2426424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2426424000 is about 49258.7454164233. The cubic root of 2426424000 is about 1343.7616144660.

It can be divided in two parts, 242642 and 4000, that added together give a palindrome (246642).

The spelling of 2426424000 in words is "two billion, four hundred twenty-six million, four hundred twenty-four thousand".