2430105040 has 80 divisors (see below), whose sum is σ = 6174247680. Its totient is φ = 882152960.

The previous prime is 2430105011. The next prime is 2430105049. The reversal of 2430105040 is 405010342.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2430104999 and 2430105017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430105049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593721 + ... + 597799.

It is an arithmetic number, because the mean of its divisors is an integer number (77178096).

Almost surely, 2^2430105040 is an apocalyptic number.

2430105040 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 2430105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087123840).

2430105040 is an abundant number, since it is smaller than the sum of its proper divisors (3744142640).

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

2430105040 is a wasteful number, since it uses less digits than its factorization.

2430105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2430105040 is about 49296.0955857561. The cubic root of 2430105040 is about 1344.4407951594.

Adding to 2430105040 its reverse (405010342), we get a palindrome (2835115382).

The spelling of 2430105040 in words is "two billion, four hundred thirty million, one hundred five thousand, forty".