2065712158440 has 896 divisors, whose sum is σ = 8182319016960. Its totient is φ = 459350341632.

The previous prime is 2065712158429. The next prime is 2065712158541. The reversal of 2065712158440 is 448512175602.

2065712158440 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 7 + 1 + 21 + 584 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1889946534 + ... + 1889947626.

Almost surely, 2^{2065712158440} is an apocalyptic number.

2065712158440 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 2065712158440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091159508480).

2065712158440 is an abundant number, since it is smaller than the sum of its proper divisors (6116606858520).

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

2065712158440 is a wasteful number, since it uses less digits than its factorization.

2065712158440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 2065712158440 in words is "two trillion, sixty-five billion, seven hundred twelve million, one hundred fifty-eight thousand, four hundred forty".