2430133140 has 96 divisors (see below), whose sum is σ = 7000963200. Its totient is φ = 629452800.

The previous prime is 2430133127. The next prime is 2430133159. The reversal of 2430133140 is 413310342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590811 + ... + 594909.

It is an arithmetic number, because the mean of its divisors is an integer number (72926700).

Almost surely, 2^2430133140 is an apocalyptic number.

2430133140 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 2430133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500481600).

2430133140 is an abundant number, since it is smaller than the sum of its proper divisors (4570830060).

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

2430133140 is a wasteful number, since it uses less digits than its factorization.

2430133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2430133140 is about 49296.3805973623. The cubic root of 2430133140 is about 1344.4459771907.

Adding to 2430133140 its reverse (413310342), we get a palindrome (2843443482).

The spelling of 2430133140 in words is "two billion, four hundred thirty million, one hundred thirty-three thousand, one hundred forty".