2068632000 has 448 divisors, whose sum is σ = 7763134080. Its totient is φ = 539136000.

The previous prime is 2068631993. The next prime is 2068632037. The reversal of 2068632000 is 2368602.

2068632000 is a `hidden beast` number, since 20 + 6 + 8 + 632 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13175922 + ... + 13176078.

Almost surely, 2^2068632000 is an apocalyptic number.

2068632000 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 2068632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881567040).

2068632000 is an abundant number, since it is smaller than the sum of its proper divisors (5694502080).

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

2068632000 is a wasteful number, since it uses less digits than its factorization.

2068632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2068632000 is about 45482.2163048372. The cubic root of 2068632000 is about 1274.1710875156.

The spelling of 2068632000 in words is "two billion, sixty-eight million, six hundred thirty-two thousand".