2302002000 has 480 divisors, whose sum is σ = 8690872320. Its totient is φ = 566092800.

The previous prime is 2302001993. The next prime is 2302002047. The reversal of 2302002000 is 2002032.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18125937 + ... + 18126063.

It is an arithmetic number, because the mean of its divisors is an integer number (18105984).

Almost surely, 2^2302002000 is an apocalyptic number.

2302002000 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 2302002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345436160).

2302002000 is an abundant number, since it is smaller than the sum of its proper divisors (6388870320).

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

2302002000 is a wasteful number, since it uses less digits than its factorization.

2302002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

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

The square root of 2302002000 is about 47979.1829859576. The cubic root of 2302002000 is about 1320.3890038067.

Adding to 2302002000 its reverse (2002032), we get a palindrome (2304004032).

The spelling of 2302002000 in words is "two billion, three hundred two million, two thousand".