2428231680 has 336 divisors, whose sum is σ = 9630058464. Its totient is φ = 554434560.

The previous prime is 2428231657. The next prime is 2428231681. The reversal of 2428231680 is 861328242.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428231681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2580010 + ... + 2580950.

Almost surely, 2^2428231680 is an apocalyptic number.

2428231680 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 2428231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815029232).

2428231680 is an abundant number, since it is smaller than the sum of its proper divisors (7201826784).

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

2428231680 is an equidigital number, since it uses as much as digits as its factorization.

2428231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2428231680 is about 49277.0908232213. The cubic root of 2428231680 is about 1344.0952313473.

The spelling of 2428231680 in words is "two billion, four hundred twenty-eight million, two hundred thirty-one thousand, six hundred eighty".