2421456128 has 216 divisors, whose sum is σ = 6263470080. Its totient is φ = 925102080.

The previous prime is 2421456127. The next prime is 2421456143. The reversal of 2421456128 is 8216541242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421456127) 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, 5054993 + ... + 5055471.

Almost surely, 2^2421456128 is an apocalyptic number.

2421456128 is a gapful number since it is divisible by the number (28) 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 2421456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131735040).

2421456128 is an abundant number, since it is smaller than the sum of its proper divisors (3842013952).

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

2421456128 is a wasteful number, since it uses less digits than its factorization.

2421456128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 532 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 2421456128 is about 49208.2932847706. The cubic root of 2421456128 is about 1342.8439132457.

The spelling of 2421456128 in words is "two billion, four hundred twenty-one million, four hundred fifty-six thousand, one hundred twenty-eight".