2432821248 has 432 divisors, whose sum is σ = 8417092320. Its totient is φ = 670924800.

The previous prime is 2432821247. The next prime is 2432821283. The reversal of 2432821248 is 8421282342.

2432821248 is a `hidden beast` number, since 2 + 432 + 8 + 212 + 4 + 8 = 666.

It is a super-3 number, since 3×2432821248³ (a number of 29 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2432821241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34265053 + ... + 34265123.

It is an arithmetic number, because the mean of its divisors is an integer number (19484010).

Almost surely, 2^2432821248 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 2432821248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208546160).

2432821248 is an abundant number, since it is smaller than the sum of its proper divisors (5984271072).

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

2432821248 is a wasteful number, since it uses less digits than its factorization.

2432821248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 100 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 2432821248 is about 49323.6378220423. The cubic root of 2432821248 is about 1344.9415171523.

The spelling of 2432821248 in words is "two billion, four hundred thirty-two million, eight hundred twenty-one thousand, two hundred forty-eight".