2431159557120 has 2112 divisors, whose sum is σ = 10660886046720. Its totient is φ = 519226785792.

The previous prime is 2431159557103. The next prime is 2431159557131. The reversal of 2431159557120 is 217559511342.

2431159557120 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 1 + 59 + 5 + 571 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10616417166 + ... + 10616417394.

Almost surely, 2^{2431159557120} is an apocalyptic number.

2431159557120 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 2431159557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330443023360).

2431159557120 is an abundant number, since it is smaller than the sum of its proper divisors (8229726489600).

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

2431159557120 is a wasteful number, since it uses less digits than its factorization.

2431159557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 2431159557120 in words is "two trillion, four hundred thirty-one billion, one hundred fifty-nine million, five hundred fifty-seven thousand, one hundred twenty".