2126947200 has 384 divisors, whose sum is σ = 8272803840. Its totient is φ = 470016000.

The previous prime is 2126947189. The next prime is 2126947217. The reversal of 2126947200 is 27496212.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2082690 + ... + 2083710.

It is an arithmetic number, because the mean of its divisors is an integer number (21543760).

Almost surely, 2^2126947200 is an apocalyptic number.

2126947200 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 2126947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136401920).

2126947200 is an abundant number, since it is smaller than the sum of its proper divisors (6145856640).

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

2126947200 is a wasteful number, since it uses less digits than its factorization.

2126947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2126947200 is about 46118.8377997538. The cubic root of 2126947200 is about 1286.0333656035.

The spelling of 2126947200 in words is "two billion, one hundred twenty-six million, nine hundred forty-seven thousand, two hundred".