2152091247264 has 360 divisors, whose sum is σ = 7451328332448. Its totient is φ = 607472006400.

The previous prime is 2152091247223. The next prime is 2152091247287. The reversal of 2152091247264 is 4627421902512.

2152091247264 is a `hidden beast` number, since 2 + 15 + 20 + 91 + 2 + 472 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10439589 + ... + 10643739.

Almost surely, 2^{2152091247264} is an apocalyptic number.

2152091247264 is a gapful number since it is divisible by the number (24) 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 2152091247264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725664166224).

2152091247264 is an abundant number, since it is smaller than the sum of its proper divisors (5299237085184).

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

2152091247264 is a wasteful number, since it uses less digits than its factorization.

2152091247264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204270 (or 204246 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2152091247264 in words is "two trillion, one hundred fifty-two billion, ninety-one million, two hundred forty-seven thousand, two hundred sixty-four".