2152021646880 has 2592 divisors, whose sum is σ = 9892666982016. Its totient is φ = 438688825344.

The previous prime is 2152021646861. The next prime is 2152021646909. The reversal of 2152021646880 is 886461202512.

2152021646880 is a `hidden beast` number, since 2 + 1 + 520 + 2 + 1 + 6 + 46 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 20112351787 + ... + 20112351893.

It is an arithmetic number, because the mean of its divisors is an integer number (3816615348).

Almost surely, 2^{2152021646880} is an apocalyptic number.

2152021646880 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 2152021646880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946333491008).

2152021646880 is an abundant number, since it is smaller than the sum of its proper divisors (7740645335136).

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

2152021646880 is a wasteful number, since it uses less digits than its factorization.

2152021646880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2152021646880 in words is "two trillion, one hundred fifty-two billion, twenty-one million, six hundred forty-six thousand, eight hundred eighty".