3013002000 has 240 divisors, whose sum is σ = 10672220208. Its totient is φ = 792115200.

The previous prime is 3013001983. The next prime is 3013002011. The reversal of 3013002000 is 2003103.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1191078144 + 1821923856 = 34512^2 + 42684^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312854 + ... + 1315146.

Almost surely, 2^3013002000 is an apocalyptic number.

3013002000 is a gapful number since it is divisible by the number (30) 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 3013002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5336110104).

3013002000 is an abundant number, since it is smaller than the sum of its proper divisors (7659218208).

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

3013002000 is a wasteful number, since it uses less digits than its factorization.

3013002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3013002000 is about 54890.8189044397. The cubic root of 3013002000 is about 1444.3301373494.

Adding to 3013002000 its reverse (2003103), we get a palindrome (3015005103).

The spelling of 3013002000 in words is "three billion, thirteen million, two thousand".