2340400000 has 96 divisors (see below), whose sum is σ = 5828767560. Its totient is φ = 936000000.

The previous prime is 2340399967. The next prime is 2340400037. The reversal of 2340400000 is 40432.

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 11 ways as a sum of consecutive naturals, for example, 397075 + ... + 402925.

Almost surely, 2^2340400000 is an apocalyptic number.

2340400000 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 2340400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914383780).

2340400000 is an abundant number, since it is smaller than the sum of its proper divisors (3488367560).

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

2340400000 is an frugal number, since it uses more digits than its factorization.

2340400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5890 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2340400000 is about 48377.6808042717. The cubic root of 2340400000 is about 1327.6900374956.

Adding to 2340400000 its reverse (40432), we get a palindrome (2340440432).

The spelling of 2340400000 in words is "two billion, three hundred forty million, four hundred thousand".