2134924627200 has 432 divisors, whose sum is σ = 7661817737280. Its totient is φ = 521339535360.

The previous prime is 2134924627189. The next prime is 2134924627243. The reversal of 2134924627200 is 27264294312.

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, 11988411 + ... + 12165189.

Almost surely, 2^{2134924627200} is an apocalyptic number.

2134924627200 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 2134924627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830908868640).

2134924627200 is an abundant number, since it is smaller than the sum of its proper divisors (5526893110080).

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

2134924627200 is a wasteful number, since it uses less digits than its factorization.

2134924627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176862 (or 176843 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 2134924627200 in words is "two trillion, one hundred thirty-four billion, nine hundred twenty-four million, six hundred twenty-seven thousand, two hundred".