2426262400 has 96 divisors (see below), whose sum is σ = 6053775480. Its totient is φ = 960768000.

The previous prime is 2426262359. The next prime is 2426262403. The reversal of 2426262400 is 42626242.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426262403) 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 11 ways as a sum of consecutive naturals, for example, 319447 + ... + 326953.

Almost surely, 2^2426262400 is an apocalyptic number.

2426262400 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 2426262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026887740).

2426262400 is an abundant number, since it is smaller than the sum of its proper divisors (3627513080).

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

2426262400 is a wasteful number, since it uses less digits than its factorization.

2426262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7615 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2426262400 is about 49257.1050712484. The cubic root of 2426262400 is about 1343.7317822661.

Adding to 2426262400 its reverse (42626242), we get a palindrome (2468888642).

The spelling of 2426262400 in words is "two billion, four hundred twenty-six million, two hundred sixty-two thousand, four hundred".