2152324690560 has 960 divisors, whose sum is σ = 8655719826600. Its totient is φ = 508988620800.

The previous prime is 2152324690507. The next prime is 2152324690561. The reversal of 2152324690560 is 650964232512.

2152324690560 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 3 + 24 + 69 + 0 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1405704269376 + 746620421184 = 1185624^2 + 864072^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2152324690560² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2152324690561) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 257174056 + ... + 257182424.

Almost surely, 2^{2152324690560} is an apocalyptic number.

2152324690560 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 2152324690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327859913300).

2152324690560 is an abundant number, since it is smaller than the sum of its proper divisors (6503395136040).

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

2152324690560 is a wasteful number, since it uses less digits than its factorization.

2152324690560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8463 (or 8431 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 2152324690560 in words is "two trillion, one hundred fifty-two billion, three hundred twenty-four million, six hundred ninety thousand, five hundred sixty".