2152148208000 has 384 divisors, whose sum is σ = 8299175695200. Its totient is φ = 491919052800.

The previous prime is 2152148207977. The next prime is 2152148208029. The reversal of 2152148208000 is 8028412512.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2152148208000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1894486 + ... + 2809514.

Almost surely, 2^{2152148208000} is an apocalyptic number.

2152148208000 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 2152148208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149587847600).

2152148208000 is an abundant number, since it is smaller than the sum of its proper divisors (6147027487200).

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

2152148208000 is an equidigital number, since it uses as much as digits as its factorization.

2152148208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915075 (or 915046 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The spelling of 2152148208000 in words is "two trillion, one hundred fifty-two billion, one hundred forty-eight million, two hundred eight thousand".