2002628640 has 192 divisors, whose sum is σ = 6666831360. Its totient is φ = 504483840.

The previous prime is 2002628603. The next prime is 2002628647. The reversal of 2002628640 is 468262002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2002628598 and 2002628607.

It is not an unprimeable number, because it can be changed into a prime (2002628647) 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, 652710 + ... + 655770.

It is an arithmetic number, because the mean of its divisors is an integer number (34723080).

Almost surely, 2^2002628640 is an apocalyptic number.

2002628640 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 2002628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333415680).

2002628640 is an abundant number, since it is smaller than the sum of its proper divisors (4664202720).

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

2002628640 is a wasteful number, since it uses less digits than its factorization.

2002628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2002628640 is about 44750.7389883117. The cubic root of 2002628640 is about 1260.4727880567.

The spelling of 2002628640 in words is "two billion, two million, six hundred twenty-eight thousand, six hundred forty".