2008493760 has 448 divisors, whose sum is σ = 7971812352. Its totient is φ = 417153024.

The previous prime is 2008493731. The next prime is 2008493761. The reversal of 2008493760 is 673948002.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2008493761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7250742 + ... + 7251018.

It is an arithmetic number, because the mean of its divisors is an integer number (17794224).

Almost surely, 2^2008493760 is an apocalyptic number.

2008493760 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 2008493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985906176).

2008493760 is an abundant number, since it is smaller than the sum of its proper divisors (5963318592).

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

2008493760 is a wasteful number, since it uses less digits than its factorization.

2008493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2008493760 is about 44816.2220629986. Note that the first 3 decimals coincide. The cubic root of 2008493760 is about 1261.7021087910.

The spelling of 2008493760 in words is "two billion, eight million, four hundred ninety-three thousand, seven hundred sixty".