2149324800480 has 2880 divisors, whose sum is σ = 9810910771200. Its totient is φ = 438491750400.

The previous prime is 2149324800443. The next prime is 2149324800481. The reversal of 2149324800480 is 840084239412.

2149324800480 is a `hidden beast` number, since 2 + 1 + 4 + 93 + 2 + 4 + 80 + 0 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149324800481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12007401031 + ... + 12007401209.

It is an arithmetic number, because the mean of its divisors is an integer number (3406566240).

Almost surely, 2^{2149324800480} is an apocalyptic number.

2149324800480 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 2149324800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905455385600).

2149324800480 is an abundant number, since it is smaller than the sum of its proper divisors (7661585970720).

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

2149324800480 is a wasteful number, since it uses less digits than its factorization.

2149324800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2149324800480 in words is "two trillion, one hundred forty-nine billion, three hundred twenty-four million, eight hundred thousand, four hundred eighty".