2064253131360 has 480 divisors, whose sum is σ = 8329387429440. Its totient is φ = 471627214848.

The previous prime is 2064253131337. The next prime is 2064253131361. The reversal of 2064253131360 is 631313524602.

2064253131360 is a `hidden beast` number, since 2 + 0 + 64 + 2 + 531 + 3 + 1 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2064253131360² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064253131361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 351718506 + ... + 351724374.

It is an arithmetic number, because the mean of its divisors is an integer number (17352890478).

Almost surely, 2^{2064253131360} is an apocalyptic number.

2064253131360 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 2064253131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164693714720).

2064253131360 is an abundant number, since it is smaller than the sum of its proper divisors (6265134298080).

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

2064253131360 is a wasteful number, since it uses less digits than its factorization.

2064253131360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9780 (or 9763 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 2064253131360 its reverse (631313524602), we get a palindrome (2695566655962).

The spelling of 2064253131360 in words is "two trillion, sixty-four billion, two hundred fifty-three million, one hundred thirty-one thousand, three hundred sixty".