2431027872 has 576 divisors, whose sum is σ = 9202152960. Its totient is φ = 591224832.

The previous prime is 2431027867. The next prime is 2431027901. The reversal of 2431027872 is 2787201342.

2431027872 is a `hidden beast` number, since 2 + 4 + 310 + 278 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22302954 + ... + 22303062.

It is an arithmetic number, because the mean of its divisors is an integer number (15975960).

Almost surely, 2^2431027872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2431027872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601076480).

2431027872 is an abundant number, since it is smaller than the sum of its proper divisors (6771125088).

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

2431027872 is a wasteful number, since it uses less digits than its factorization.

2431027872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2431027872 is about 49305.4547895058. The cubic root of 2431027872 is about 1344.6109573471.

The spelling of 2431027872 in words is "two billion, four hundred thirty-one million, twenty-seven thousand, eight hundred seventy-two".