2092147200 has 720 divisors, whose sum is σ = 8865432576. Its totient is φ = 464486400.

The previous prime is 2092147193. The next prime is 2092147259. The reversal of 2092147200 is 27412902.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16473537 + ... + 16473663.

Almost surely, 2^2092147200 is an apocalyptic number.

2092147200 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 2092147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432716288).

2092147200 is an abundant number, since it is smaller than the sum of its proper divisors (6773285376).

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

2092147200 is a wasteful number, since it uses less digits than its factorization.

2092147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2092147200 is about 45739.9956274593. The cubic root of 2092147200 is about 1278.9809597650.

It can be divided in two parts, 20921 and 47200, that added together give a square (68121 = 261²).

The spelling of 2092147200 in words is "two billion, ninety-two million, one hundred forty-seven thousand, two hundred".