2431201080000 has 2240 divisors, whose sum is σ = 10658492190720. Its totient is φ = 474163200000.

The previous prime is 2431201079977. The next prime is 2431201080037. The reversal of 2431201080000 is 801021342.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 319 ways as a sum of consecutive naturals, for example, 11522279895 + ... + 11522280105.

Almost surely, 2^{2431201080000} is an apocalyptic number.

2431201080000 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 2431201080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329246095360).

2431201080000 is an abundant number, since it is smaller than the sum of its proper divisors (8227291110720).

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

2431201080000 is a wasteful number, since it uses less digits than its factorization.

2431201080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 2431201080000 in words is "two trillion, four hundred thirty-one billion, two hundred one million, eighty thousand".