2401433120 has 24 divisors (see below), whose sum is σ = 5673386124. Its totient is φ = 960573184.

The previous prime is 2401433119. The next prime is 2401433137. The reversal of 2401433120 is 213341042.

It can be written as a sum of positive squares in 2 ways, for example, as 2246380816 + 155052304 = 47396^2 + 12452^2 .

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 = 2401433092 and 2401433101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7504319 + ... + 7504638.

Almost surely, 2^2401433120 is an apocalyptic number.

2401433120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401433120 is an abundant number, since it is smaller than the sum of its proper divisors (3271953004).

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

2401433120 is a wasteful number, since it uses less digits than its factorization.

2401433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15008972 (or 15008964 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2401433120 is about 49004.4193925405. The cubic root of 2401433120 is about 1339.1323409571.

Adding to 2401433120 its reverse (213341042), we get a palindrome (2614774162).

The spelling of 2401433120 in words is "two billion, four hundred one million, four hundred thirty-three thousand, one hundred twenty".