2002782720 has 160 divisors (see below), whose sum is σ = 6485656320. Its totient is φ = 527155200.

The previous prime is 2002782689. The next prime is 2002782781. The reversal of 2002782720 is 272872002.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2002782720² = 8022277247061196800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605070 + ... + 608370.

It is an arithmetic number, because the mean of its divisors is an integer number (40535352).

Almost surely, 2^2002782720 is an apocalyptic number.

2002782720 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 2002782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242828160).

2002782720 is an abundant number, since it is smaller than the sum of its proper divisors (4482873600).

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

2002782720 is an equidigital number, since it uses as much as digits as its factorization.

2002782720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 2002782720 is about 44752.4604910166. The cubic root of 2002782720 is about 1260.5051136816.

The spelling of 2002782720 in words is "two billion, two million, seven hundred eighty-two thousand, seven hundred twenty".