2428305000 has 160 divisors (see below), whose sum is σ = 8276225760. Its totient is φ = 588640000.

The previous prime is 2428304999. The next prime is 2428305023. The reversal of 2428305000 is 5038242.

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

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 39 ways as a sum of consecutive naturals, for example, 157642 + ... + 172358.

It is an arithmetic number, because the mean of its divisors is an integer number (51726411).

Almost surely, 2^2428305000 is an apocalyptic number.

2428305000 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 2428305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138112880).

2428305000 is an abundant number, since it is smaller than the sum of its proper divisors (5847920760).

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

2428305000 is a wasteful number, since it uses less digits than its factorization.

2428305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14757 (or 14738 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2428305000 is about 49277.8347738616. The cubic root of 2428305000 is about 1344.1087594456.

The spelling of 2428305000 in words is "two billion, four hundred twenty-eight million, three hundred five thousand".