2431245040000 has 320 divisors, whose sum is σ = 6994929031200. Its totient is φ = 824186880000.

The previous prime is 2431245039991. The next prime is 2431245040019. The reversal of 2431245040000 is 405421342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 49815610 + ... + 49864390.

Almost surely, 2^{2431245040000} is an apocalyptic number.

2431245040000 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 2431245040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497464515600).

2431245040000 is an abundant number, since it is smaller than the sum of its proper divisors (4563683991200).

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

2431245040000 is an frugal number, since it uses more digits than its factorization.

2431245040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48911 (or 48884 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 2431245040000 in words is "two trillion, four hundred thirty-one billion, two hundred forty-five million, forty thousand".