2434420040 has 64 divisors (see below), whose sum is σ = 5920432560. Its totient is φ = 895564800.

The previous prime is 2434420033. The next prime is 2434420057. The reversal of 2434420040 is 400244342.

It can be written as a sum of positive squares in 8 ways, for example, as 1071776644 + 1362643396 = 32738^2 + 36914^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2434419988 and 2434420015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135590 + ... + 152490.

Almost surely, 2^2434420040 is an apocalyptic number.

2434420040 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 2434420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960216280).

2434420040 is an abundant number, since it is smaller than the sum of its proper divisors (3486012520).

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

2434420040 is a wasteful number, since it uses less digits than its factorization.

2434420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17202 (or 17198 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 2434420040 is about 49339.8423183536. The cubic root of 2434420040 is about 1345.2360737806.

Adding to 2434420040 its reverse (400244342), we get a palindrome (2834664382).

The spelling of 2434420040 in words is "two billion, four hundred thirty-four million, four hundred twenty thousand, forty".