2008767960 has 96 divisors (see below), whose sum is σ = 6551897040. Its totient is φ = 533751552.

The previous prime is 2008767953. The next prime is 2008767967. The reversal of 2008767960 is 697678002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2008767953) and next prime (2008767967).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008767967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92022 + ... + 111738.

Almost surely, 2^2008767960 is an apocalyptic number.

2008767960 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 2008767960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275948520).

2008767960 is an abundant number, since it is smaller than the sum of its proper divisors (4543129080).

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

2008767960 is a wasteful number, since it uses less digits than its factorization.

2008767960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20017 (or 20010 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2008767960 is about 44819.2811187328. The cubic root of 2008767960 is about 1261.7595221261.

The spelling of 2008767960 in words is "two billion, eight million, seven hundred sixty-seven thousand, nine hundred sixty".