2149314048000 has 2496 divisors, whose sum is σ = 9788939596800. Its totient is φ = 462628454400.

The previous prime is 2149314047957. The next prime is 2149314048001. The reversal of 2149314048000 is 8404139412.

It is a happy number.

2149314048000 is a `hidden beast` number, since 2 + 149 + 31 + 4 + 0 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2149314048001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 12870143917 + ... + 12870144083.

It is an arithmetic number, because the mean of its divisors is an integer number (3921850800).

Almost surely, 2^{2149314048000} is an apocalyptic number.

2149314048000 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 2149314048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894469798400).

2149314048000 is an abundant number, since it is smaller than the sum of its proper divisors (7639625548800).

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

2149314048000 is a wasteful number, since it uses less digits than its factorization.

2149314048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2149314048000 in words is "two trillion, one hundred forty-nine billion, three hundred fourteen million, forty-eight thousand".