2645143240320 has 2048 divisors, whose sum is σ = 11870724096000. Its totient is φ = 542744395776.

The previous prime is 2645143240319. The next prime is 2645143240351. The reversal of 2645143240320 is 230423415462.

2645143240320 is a `hidden beast` number, since 2 + 6 + 4 + 5 + 1 + 4 + 324 + 0 + 320 = 666.

It is a super-5 number, since 5×2645143240320⁵ (a number of 63 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8616101607 + ... + 8616101913.

It is an arithmetic number, because the mean of its divisors is an integer number (5796252000).

Almost surely, 2^{2645143240320} is an apocalyptic number.

2645143240320 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 2645143240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935362048000).

2645143240320 is an abundant number, since it is smaller than the sum of its proper divisors (9225580855680).

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

2645143240320 is a wasteful number, since it uses less digits than its factorization.

2645143240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 2645143240320 its reverse (230423415462), we get a palindrome (2875566655782).

The spelling of 2645143240320 in words is "two trillion, six hundred forty-five billion, one hundred forty-three million, two hundred forty thousand, three hundred twenty".