2031761664 has 144 divisors (see below), whose sum is σ = 6362072640. Its totient is φ = 637378560.

The previous prime is 2031761639. The next prime is 2031761671. The reversal of 2031761664 is 4661671302.

It is a happy number.

2031761664 is a `hidden beast` number, since 2 + 0 + 31 + 7 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 108859 + ... + 126149.

It is an arithmetic number, because the mean of its divisors is an integer number (44181060).

Almost surely, 2^2031761664 is an apocalyptic number.

2031761664 is a gapful number since it is divisible by the number (24) 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 2031761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181036320).

2031761664 is an abundant number, since it is smaller than the sum of its proper divisors (4330310976).

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

2031761664 is a wasteful number, since it uses less digits than its factorization.

2031761664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17333 (or 17313 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2031761664 is about 45075.0669883030. The cubic root of 2031761664 is about 1266.5555837336. Note that the first 4 decimals are identical.

The spelling of 2031761664 in words is "two billion, thirty-one million, seven hundred sixty-one thousand, six hundred sixty-four".