2401234220 has 144 divisors (see below), whose sum is σ = 6620654880. Its totient is φ = 722534400.

The previous prime is 2401234217. The next prime is 2401234229. The reversal of 2401234220 is 224321042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2401234192 and 2401234201.

It is not an unprimeable number, because it can be changed into a prime (2401234229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308780 + ... + 316460.

It is an arithmetic number, because the mean of its divisors is an integer number (45976770).

Almost surely, 2^2401234220 is an apocalyptic number.

2401234220 is a gapful number since it is divisible by the number (20) 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 2401234220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310327440).

2401234220 is an abundant number, since it is smaller than the sum of its proper divisors (4219420660).

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

2401234220 is a wasteful number, since it uses less digits than its factorization.

2401234220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7744 (or 7735 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2401234220 is about 49002.3899417161. The cubic root of 2401234220 is about 1339.0953684823.

Adding to 2401234220 its reverse (224321042), we get a palindrome (2625555262).

The spelling of 2401234220 in words is "two billion, four hundred one million, two hundred thirty-four thousand, two hundred twenty".