2031668640 has 288 divisors, whose sum is σ = 7403432400. Its totient is φ = 505577472.

The previous prime is 2031668633. The next prime is 2031668659. The reversal of 2031668640 is 468661302.

2031668640 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 6 + 6 + 8 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 310746384 + 1720922256 = 17628^2 + 41484^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 2031668595 and 2031668604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3647242 + ... + 3647798.

Almost surely, 2^2031668640 is an apocalyptic number.

2031668640 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 2031668640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701716200).

2031668640 is an abundant number, since it is smaller than the sum of its proper divisors (5371763760).

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

2031668640 is a wasteful number, since it uses less digits than its factorization.

2031668640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2031668640 is about 45074.0350978254. The cubic root of 2031668640 is about 1266.5362537326.

The spelling of 2031668640 in words is "two billion, thirty-one million, six hundred sixty-eight thousand, six hundred forty".