2540432340 has 144 divisors (see below), whose sum is σ = 8089780608. Its totient is φ = 644067072.

The previous prime is 2540432311. The next prime is 2540432347. The reversal of 2540432340 is 432340452.

2540432340 is a `hidden beast` number, since 25 + 404 + 3 + 234 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540432347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 714447 + ... + 717993.

It is an arithmetic number, because the mean of its divisors is an integer number (56179032).

Almost surely, 2^2540432340 is an apocalyptic number.

2540432340 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 2540432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044890304).

2540432340 is an abundant number, since it is smaller than the sum of its proper divisors (5549348268).

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

2540432340 is a wasteful number, since it uses less digits than its factorization.

2540432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2540432340 is about 50402.7017133010. The cubic root of 2540432340 is about 1364.4863985706.

Adding to 2540432340 its reverse (432340452), we get a palindrome (2972772792).

The spelling of 2540432340 in words is "two billion, five hundred forty million, four hundred thirty-two thousand, three hundred forty".