2442523824 has 480 divisors, whose sum is σ = 8423460864. Its totient is φ = 652861440.

The previous prime is 2442523823. The next prime is 2442523829. The reversal of 2442523824 is 4283252442.

2442523824 is a `hidden beast` number, since 24 + 4 + 252 + 382 + 4 = 666.

It is a super-3 number, since 3×2442523824³ (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 not an unprimeable number, because it can be changed into a prime (2442523823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34401709 + ... + 34401779.

Almost surely, 2^2442523824 is an apocalyptic number.

2442523824 is a gapful number since it is divisible by the number (24) 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 2442523824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211730432).

2442523824 is an abundant number, since it is smaller than the sum of its proper divisors (5980937040).

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

2442523824 is a wasteful number, since it uses less digits than its factorization.

2442523824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 2442523824 is about 49421.8961999638. The cubic root of 2442523824 is about 1346.7271104241.

The spelling of 2442523824 in words is "two billion, four hundred forty-two million, five hundred twenty-three thousand, eight hundred twenty-four".