2001714656640 has 128 divisors (see below), whose sum is σ = 6442412371200. Its totient is φ = 528608090112.

The previous prime is 2001714656597. The next prime is 2001714656681. The reversal of 2001714656640 is 466564171002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2001714656592 and 2001714656601.

It is a congruent number.

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, 4863210 + ... + 5258729.

It is an arithmetic number, because the mean of its divisors is an integer number (50331346650).

Almost surely, 2^{2001714656640} is an apocalyptic number.

2001714656640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001714656640 is an abundant number, since it is smaller than the sum of its proper divisors (4440697714560).

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

2001714656640 is a wasteful number, since it uses less digits than its factorization.

2001714656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10122064 (or 10122052 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 2001714656640 in words is "two trillion, one billion, seven hundred fourteen million, six hundred fifty-six thousand, six hundred forty".