2430041400 has 72 divisors (see below), whose sum is σ = 8160895080. Its totient is φ = 648010560.

The previous prime is 2430041389. The next prime is 2430041401. The reversal of 2430041400 is 41400342.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430041401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 673212 + ... + 676811.

It is an arithmetic number, because the mean of its divisors is an integer number (113345765).

Almost surely, 2^2430041400 is an apocalyptic number.

2430041400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430041400 is an abundant number, since it is smaller than the sum of its proper divisors (5730853680).

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

2430041400 is a wasteful number, since it uses less digits than its factorization.

2430041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350045 (or 1350033 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2430041400 is about 49295.4500943038. The cubic root of 2430041400 is about 1344.4290589097.

Adding to 2430041400 its reverse (41400342), we get a palindrome (2471441742).

The spelling of 2430041400 in words is "two billion, four hundred thirty million, forty-one thousand, four hundred".