2067941200 has 240 divisors, whose sum is σ = 5739476400. Its totient is φ = 709263360.

The previous prime is 2067941179. The next prime is 2067941207. The reversal of 2067941200 is 21497602.

It can be written as a sum of positive squares in 24 ways, for example, as 1919491344 + 148449856 = 43812^2 + 12184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067941207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13171522 + ... + 13171678.

It is an arithmetic number, because the mean of its divisors is an integer number (23914485).

Almost surely, 2^2067941200 is an apocalyptic number.

2067941200 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 2067941200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869738200).

2067941200 is an abundant number, since it is smaller than the sum of its proper divisors (3671535200).

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

2067941200 is a wasteful number, since it uses less digits than its factorization.

2067941200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 2067941200 is about 45474.6214937519. The cubic root of 2067941200 is about 1274.0292392824.

The spelling of 2067941200 in words is "two billion, sixty-seven million, nine hundred forty-one thousand, two hundred".