2152261330560 has 576 divisors, whose sum is σ = 8612715290400. Its totient is φ = 491064360960.

The previous prime is 2152261330507. The next prime is 2152261330573. The reversal of 2152261330560 is 650331622512.

2152261330560 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 2 + 61 + 3 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18252271 + ... + 18369809.

Almost surely, 2^{2152261330560} is an apocalyptic number.

2152261330560 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 2152261330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306357645200).

2152261330560 is an abundant number, since it is smaller than the sum of its proper divisors (6460453959840).

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

2152261330560 is a wasteful number, since it uses less digits than its factorization.

2152261330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117609 (or 117577 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 2152261330560 in words is "two trillion, one hundred fifty-two billion, two hundred sixty-one million, three hundred thirty thousand, five hundred sixty".