2030067200 has 240 divisors, whose sum is σ = 5825043840. Its totient is φ = 686776320.

The previous prime is 2030067181. The next prime is 2030067211. The reversal of 2030067200 is 27600302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12454319 + ... + 12454481.

It is an arithmetic number, because the mean of its divisors is an integer number (24271016).

Almost surely, 2^2030067200 is an apocalyptic number.

2030067200 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 2030067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912521920).

2030067200 is an abundant number, since it is smaller than the sum of its proper divisors (3794976640).

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

2030067200 is a wasteful number, since it uses less digits than its factorization.

2030067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 2030067200 is about 45056.2670446632. The cubic root of 2030067200 is about 1266.2033885965.

Adding to 2030067200 its reverse (27600302), we get a palindrome (2057667502).

The spelling of 2030067200 in words is "two billion, thirty million, sixty-seven thousand, two hundred".