2340400040 has 64 divisors (see below), whose sum is σ = 5797440000. Its totient is φ = 843229440.

The previous prime is 2340400037. The next prime is 2340400057. The reversal of 2340400040 is 400040432.

It is a junction number, because it is equal to n+sod(n) for n = 2340399991 and 2340400018.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23561 + ... + 72359.

It is an arithmetic number, because the mean of its divisors is an integer number (90585000).

Almost surely, 2^2340400040 is an apocalyptic number.

2340400040 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 2340400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898720000).

2340400040 is an abundant number, since it is smaller than the sum of its proper divisors (3457039960).

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

2340400040 is a wasteful number, since it uses less digits than its factorization.

2340400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48930 (or 48926 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2340400040 is about 48377.6812176855. The cubic root of 2340400040 is about 1327.6900450595.

Adding to 2340400040 its reverse (400040432), we get a palindrome (2740440472).

The spelling of 2340400040 in words is "two billion, three hundred forty million, four hundred thousand, forty".