2131668000 has 576 divisors, whose sum is σ = 9444314880. Its totient is φ = 442368000.

The previous prime is 2131667977. The next prime is 2131668041. The reversal of 2131668000 is 8661312.

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, 2771616 + ... + 2772384.

It is an arithmetic number, because the mean of its divisors is an integer number (16396380).

Almost surely, 2^2131668000 is an apocalyptic number.

2131668000 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 2131668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722157440).

2131668000 is an abundant number, since it is smaller than the sum of its proper divisors (7312646880).

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

2131668000 is a wasteful number, since it uses less digits than its factorization.

2131668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2131668000 is about 46169.9902534103. The cubic root of 2131668000 is about 1286.9841210959.

The spelling of 2131668000 in words is "two billion, one hundred thirty-one million, six hundred sixty-eight thousand".