2149324934400 has 1944 divisors, whose sum is σ = 9528673250880. Its totient is φ = 464370278400.

The previous prime is 2149324934399. The next prime is 2149324934401. The reversal of 2149324934400 is 44394239412.

2149324934400 is a `hidden beast` number, since 2 + 14 + 93 + 24 + 93 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2149324934399) and next prime (2149324934401).

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 (2149324934401) 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 215 ways as a sum of consecutive naturals, for example, 49984300779 + ... + 49984300821.

Almost surely, 2^{2149324934400} is an apocalyptic number.

2149324934400 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 2149324934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764336625440).

2149324934400 is an abundant number, since it is smaller than the sum of its proper divisors (7379348316480).

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

2149324934400 is an equidigital number, since it uses as much as digits as its factorization.

2149324934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2149324934400 in words is "two trillion, one hundred forty-nine billion, three hundred twenty-four million, nine hundred thirty-four thousand, four hundred".