2134228810000 has 225 divisors, whose sum is σ = 6013684316739. Its totient is φ = 731384976000.

The previous prime is 2134228809967. The next prime is 2134228810067. The reversal of 2134228810000 is 188224312.

It is a happy number.

The square root of 2134228810000 is 1460900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 167323538704 + 1966905271296 = 409052^2 + 1402464^2 .

It is a super-2 number, since 2×2134228810000² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1022628957 + ... + 1022631043.

Almost surely, 2^{2134228810000} is an apocalyptic number.

2134228810000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2134228810000 is the 1460900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134228810000

2134228810000 is an abundant number, since it is smaller than the sum of its proper divisors (3879455506739).

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

2134228810000 is an frugal number, since it uses more digits than its factorization.

2134228810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 2134228810000 in words is "two trillion, one hundred thirty-four billion, two hundred twenty-eight million, eight hundred ten thousand".