2431968006 has 16 divisors (see below), whose sum is σ = 5238085104. Its totient is φ = 748297824.

The previous prime is 2431967999. The next prime is 2431968053. The reversal of 2431968006 is 6008691342.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15589461 + ... + 15589616.

It is an arithmetic number, because the mean of its divisors is an integer number (327380319).

Almost surely, 2^2431968006 is an apocalyptic number.

2431968006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2431968006 is an abundant number, since it is smaller than the sum of its proper divisors (2806117098).

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

2431968006 is a wasteful number, since it uses less digits than its factorization.

2431968006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31179095.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2431968006 is about 49314.9876406757. The cubic root of 2431968006 is about 1344.7842655972.

The spelling of 2431968006 in words is "two billion, four hundred thirty-one million, nine hundred sixty-eight thousand, six".