1234240000 has 400 divisors, whose sum is σ = 3835022400. Its totient is φ = 387072000.

The previous prime is 1234239863. The next prime is 1234240009. The reversal of 1234240000 is 424321.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1234240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42559986 + ... + 42560014.

It is an arithmetic number, because the mean of its divisors is an integer number (9587556).

Almost surely, 2^1234240000 is an apocalyptic number.

1234240000 is a gapful number since it is divisible by the number (10) 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 1234240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917511200).

1234240000 is an abundant number, since it is smaller than the sum of its proper divisors (2600782400).

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

1234240000 is an frugal number, since it uses more digits than its factorization.

1234240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1234240000 is about 35131.7520200744. The cubic root of 1234240000 is about 1072.6709989370.

Adding to 1234240000 its reverse (424321), we get a palindrome (1234664321).

The spelling of 1234240000 in words is "one billion, two hundred thirty-four million, two hundred forty thousand".