2982003640 has 128 divisors (see below), whose sum is σ = 8805542400. Its totient is φ = 880519680.

The previous prime is 2982003637. The next prime is 2982003649. The reversal of 2982003640 is 463002892.

It is a junction number, because it is equal to n+sod(n) for n = 2982003596 and 2982003605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2982003649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33042 + ... + 83998.

It is an arithmetic number, because the mean of its divisors is an integer number (68793300).

Almost surely, 2^2982003640 is an apocalyptic number.

2982003640 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 2982003640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402771200).

2982003640 is an abundant number, since it is smaller than the sum of its proper divisors (5823538760).

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

2982003640 is a wasteful number, since it uses less digits than its factorization.

2982003640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51005 (or 51001 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 2982003640 is about 54607.7250945322. The cubic root of 2982003640 is about 1439.3598685158.

The spelling of 2982003640 in words is "two billion, nine hundred eighty-two million, three thousand, six hundred forty".