2068915200 has 528 divisors, whose sum is σ = 7797596160. Its totient is φ = 479232000.

The previous prime is 2068915193. The next prime is 2068915207. The reversal of 2068915200 is 25198602.

It is an interprime number because it is at equal distance from previous prime (2068915193) and next prime (2068915207).

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2068915207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26188761 + ... + 26188839.

Almost surely, 2^2068915200 is an apocalyptic number.

2068915200 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 2068915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898798080).

2068915200 is an abundant number, since it is smaller than the sum of its proper divisors (5728680960).

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

2068915200 is a wasteful number, since it uses less digits than its factorization.

2068915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2068915200 is about 45485.3295030387. The cubic root of 2068915200 is about 1274.2292304149.

The spelling of 2068915200 in words is "two billion, sixty-eight million, nine hundred fifteen thousand, two hundred".