2002735160 has 64 divisors (see below), whose sum is σ = 4693006080. Its totient is φ = 768337920.

The previous prime is 2002735151. The next prime is 2002735169. The reversal of 2002735160 is 615372002.

It is an interprime number because it is at equal distance from previous prime (2002735151) and next prime (2002735169).

It is a super-2 number, since 2×2002735160² = 8021896242200451200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002735169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132974 + ... + 147266.

It is an arithmetic number, because the mean of its divisors is an integer number (73328220).

Almost surely, 2^2002735160 is an apocalyptic number.

2002735160 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 2002735160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346503040).

2002735160 is an abundant number, since it is smaller than the sum of its proper divisors (2690270920).

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

2002735160 is a wasteful number, since it uses less digits than its factorization.

2002735160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14448 (or 14444 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 2002735160 is about 44751.9291204301. The cubic root of 2002735160 is about 1260.4951358813.

The spelling of 2002735160 in words is "two billion, two million, seven hundred thirty-five thousand, one hundred sixty".