2426419200 has 144 divisors (see below), whose sum is σ = 8021908440. Its totient is φ = 647004160.

The previous prime is 2426419199. The next prime is 2426419213. The reversal of 2426419200 is 29146242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145702 + ... + 161498.

Almost surely, 2^2426419200 is an apocalyptic number.

2426419200 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 2426419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010954220).

2426419200 is an abundant number, since it is smaller than the sum of its proper divisors (5595489240).

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

2426419200 is a wasteful number, since it uses less digits than its factorization.

2426419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15832 (or 15807 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2426419200 is about 49258.6966940864. The cubic root of 2426419200 is about 1343.7607283802.

The spelling of 2426419200 in words is "two billion, four hundred twenty-six million, four hundred nineteen thousand, two hundred".