2440541340 has 288 divisors, whose sum is σ = 8054452224. Its totient is φ = 619591680.

The previous prime is 2440541333. The next prime is 2440541351. The reversal of 2440541340 is 431450442.

It is a happy number.

2440541340 is a `hidden beast` number, since 244 + 0 + 5 + 413 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14613937 + ... + 14614103.

It is an arithmetic number, because the mean of its divisors is an integer number (27966848).

Almost surely, 2^2440541340 is an apocalyptic number.

2440541340 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 2440541340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027226112).

2440541340 is an abundant number, since it is smaller than the sum of its proper divisors (5613910884).

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

2440541340 is a wasteful number, since it uses less digits than its factorization.

2440541340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2440541340 is about 49401.8353910055. The cubic root of 2440541340 is about 1346.3626530291.

Adding to 2440541340 its reverse (431450442), we get a palindrome (2871991782).

The spelling of 2440541340 in words is "two billion, four hundred forty million, five hundred forty-one thousand, three hundred forty".