2008601280 has 224 divisors, whose sum is σ = 8098414080. Its totient is φ = 459095040.

The previous prime is 2008601269. The next prime is 2008601281. The reversal of 2008601280 is 821068002.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2008601281) 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, 43875 + ... + 77085.

Almost surely, 2^2008601280 is an apocalyptic number.

2008601280 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 2008601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049207040).

2008601280 is an abundant number, since it is smaller than the sum of its proper divisors (6089812800).

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

2008601280 is a wasteful number, since it uses less digits than its factorization.

2008601280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33244 (or 33228 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2008601280 is about 44817.4216125828. The cubic root of 2008601280 is about 1261.7246224764.

Adding to 2008601280 its reverse (821068002), we get a palindrome (2829669282).

The spelling of 2008601280 in words is "two billion, eight million, six hundred one thousand, two hundred eighty".