2145105602640 has 1080 divisors, whose sum is σ = 9899596126368. Its totient is φ = 411436247040.

The previous prime is 2145105602617. The next prime is 2145105602641. The reversal of 2145105602640 is 462065015412.

2145105602640 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 1 + 0 + 5 + 6 + 0 + 2 + 640 = 666.

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 = 2145105602595 and 2145105602604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145105602641) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 65569167 + ... + 65601873.

Almost surely, 2^{2145105602640} is an apocalyptic number.

2145105602640 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 2145105602640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949798063184).

2145105602640 is an abundant number, since it is smaller than the sum of its proper divisors (7754490523728).

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

2145105602640 is a wasteful number, since it uses less digits than its factorization.

2145105602640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32777 (or 32748 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 2145105602640 in words is "two trillion, one hundred forty-five billion, one hundred five million, six hundred two thousand, six hundred forty".