2030202000 has 360 divisors, whose sum is σ = 7378565688. Its totient is φ = 520128000.

The previous prime is 2030201993. The next prime is 2030202007. The reversal of 2030202000 is 2020302.

It is an interprime number because it is at equal distance from previous prime (2030201993) and next prime (2030202007).

It can be written as a sum of positive squares in 4 ways, for example, as 492307344 + 1537894656 = 22188^2 + 39216^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2030202007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33281970 + ... + 33282030.

Almost surely, 2^2030202000 is an apocalyptic number.

2030202000 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 2030202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689282844).

2030202000 is an abundant number, since it is smaller than the sum of its proper divisors (5348363688).

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

2030202000 is a wasteful number, since it uses less digits than its factorization.

2030202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2030202000 is about 45057.7629271583. The cubic root of 2030202000 is about 1266.2314140134.

Adding to 2030202000 its reverse (2020302), we get a palindrome (2032222302).

The spelling of 2030202000 in words is "two billion, thirty million, two hundred two thousand".