2002513968 has 480 divisors, whose sum is σ = 7599513600. Its totient is φ = 499032576.

The previous prime is 2002513957. The next prime is 2002513969. The reversal of 2002513968 is 8693152002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002513969) 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 95 ways as a sum of consecutive naturals, for example, 5228305 + ... + 5228687.

It is an arithmetic number, because the mean of its divisors is an integer number (15832320).

Almost surely, 2^2002513968 is an apocalyptic number.

2002513968 is a gapful number since it is divisible by the number (28) 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 2002513968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799756800).

2002513968 is an abundant number, since it is smaller than the sum of its proper divisors (5596999632).

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

2002513968 is a wasteful number, since it uses less digits than its factorization.

2002513968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2002513968 is about 44749.4577397313. The cubic root of 2002513968 is about 1260.4487290622.

The spelling of 2002513968 in words is "two billion, two million, five hundred thirteen thousand, nine hundred sixty-eight".