2067903000 has 512 divisors, whose sum is σ = 7862400000. Its totient is φ = 500774400.

The previous prime is 2067902959. The next prime is 2067903007. The reversal of 2067903000 is 3097602.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067903007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14876931 + ... + 14877069.

It is an arithmetic number, because the mean of its divisors is an integer number (15356250).

Almost surely, 2^2067903000 is an apocalyptic number.

2067903000 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 2067903000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200000).

2067903000 is an abundant number, since it is smaller than the sum of its proper divisors (5794497000).

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

2067903000 is a wasteful number, since it uses less digits than its factorization.

2067903000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 2067903000 is about 45474.2014773212. The cubic root of 2067903000 is about 1274.0213944080.

The spelling of 2067903000 in words is "two billion, sixty-seven million, nine hundred three thousand".