2431005341200 has 120 divisors (see below), whose sum is σ = 6243070167936. Its totient is φ = 907437696000.

The previous prime is 2431005341161. The next prime is 2431005341207. The reversal of 2431005341200 is 21435001342.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2431005341207) 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 23 ways as a sum of consecutive naturals, for example, 2845236 + ... + 3599635.

Almost surely, 2^{2431005341200} is an apocalyptic number.

2431005341200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2431005341200 is an abundant number, since it is smaller than the sum of its proper divisors (3812064826736).

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

2431005341200 is a wasteful number, since it uses less digits than its factorization.

2431005341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444953 (or 6444942 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 2431005341200 in words is "two trillion, four hundred thirty-one billion, five million, three hundred forty-one thousand, two hundred".