2140965689568 has 96 divisors (see below), whose sum is σ = 5704313352192. Its totient is φ = 703025779200.

The previous prime is 2140965689531. The next prime is 2140965689627. The reversal of 2140965689568 is 8659865690412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2140965689568³ (a number of 38 digits) contains 333 as substring.

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, 1321798 + ... + 2455418.

It is an arithmetic number, because the mean of its divisors is an integer number (59419930752).

Almost surely, 2^{2140965689568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140965689568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852156676096).

2140965689568 is an abundant number, since it is smaller than the sum of its proper divisors (3563347662624).

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

2140965689568 is a wasteful number, since it uses less digits than its factorization.

2140965689568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133928 (or 1133920 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 69.

The spelling of 2140965689568 in words is "two trillion, one hundred forty billion, nine hundred sixty-five million, six hundred eighty-nine thousand, five hundred sixty-eight".