2428380000 has 300 divisors, whose sum is σ = 8930344500. Its totient is φ = 647136000.

The previous prime is 2428379983. The next prime is 2428380077. The reversal of 2428380000 is 838242.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 49 ways as a sum of consecutive naturals, for example, 1619251 + ... + 1620749.

It is an arithmetic number, because the mean of its divisors is an integer number (29767815).

Almost surely, 2^2428380000 is an apocalyptic number.

2428380000 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 2428380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465172250).

2428380000 is an abundant number, since it is smaller than the sum of its proper divisors (6501964500).

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

2428380000 is an equidigital number, since it uses as much as digits as its factorization.

2428380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2428380000 is about 49278.5957592138. The cubic root of 2428380000 is about 1344.1225972349.

The spelling of 2428380000 in words is "two billion, four hundred twenty-eight million, three hundred eighty thousand".