2148292608000 has 1920 divisors, whose sum is σ = 9421796966400. Its totient is φ = 421134336000.

The previous prime is 2148292607971. The next prime is 2148292608013. The reversal of 2148292608000 is 8062928412.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×2148292608000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8988671881 + ... + 8988672119.

It is an arithmetic number, because the mean of its divisors is an integer number (4907185920).

Almost surely, 2^{2148292608000} is an apocalyptic number.

2148292608000 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 2148292608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4710898483200).

2148292608000 is an abundant number, since it is smaller than the sum of its proper divisors (7273504358400).

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

2148292608000 is a wasteful number, since it uses less digits than its factorization.

2148292608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 2148292608000 in words is "two trillion, one hundred forty-eight billion, two hundred ninety-two million, six hundred eight thousand".