2421228672 has 384 divisors, whose sum is σ = 8086478400. Its totient is φ = 716636160.

The previous prime is 2421228659. The next prime is 2421228673. The reversal of 2421228672 is 2768221242.

2421228672 is a `hidden beast` number, since 2 + 421 + 228 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2421228672² = 11724696564229767168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2421228673) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10046472 + ... + 10046712.

Almost surely, 2^2421228672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043239200).

2421228672 is an abundant number, since it is smaller than the sum of its proper divisors (5665249728).

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

2421228672 is a wasteful number, since it uses less digits than its factorization.

2421228672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 282 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 2421228672 is about 49205.9820753534. The cubic root of 2421228672 is about 1342.8018658916.

The spelling of 2421228672 in words is "two billion, four hundred twenty-one million, two hundred twenty-eight thousand, six hundred seventy-two".