24790230144 has 384 divisors, whose sum is σ = 79073729280. Its totient is φ = 7703838720.

The previous prime is 24790230131. The next prime is 24790230163. The reversal of 24790230144 is 44103209742.

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

It is a super-2 number, since 2×24790230144² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 24790230099 and 24790230108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91476729 + ... + 91476999.

It is an arithmetic number, because the mean of its divisors is an integer number (205921170).

Almost surely, 2^24790230144 is an apocalyptic number.

24790230144 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 24790230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39536864640).

24790230144 is an abundant number, since it is smaller than the sum of its proper divisors (54283499136).

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

24790230144 is a wasteful number, since it uses less digits than its factorization.

24790230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 24790230144 its reverse (44103209742), we get a palindrome (68893439886).

The spelling of 24790230144 in words is "twenty-four billion, seven hundred ninety million, two hundred thirty thousand, one hundred forty-four".