2003167920 has 320 divisors, whose sum is σ = 6999552000. Its totient is φ = 470568960.

The previous prime is 2003167909. The next prime is 2003167931. The reversal of 2003167920 is 297613002.

It is an interprime number because it is at equal distance from previous prime (2003167909) and next prime (2003167931).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13444006 + ... + 13444154.

It is an arithmetic number, because the mean of its divisors is an integer number (21873600).

Almost surely, 2^2003167920 is an apocalyptic number.

2003167920 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 2003167920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499776000).

2003167920 is an abundant number, since it is smaller than the sum of its proper divisors (4996384080).

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

2003167920 is a wasteful number, since it uses less digits than its factorization.

2003167920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 2003167920 is about 44756.7639580879. The cubic root of 2003167920 is about 1260.5859204909.

The spelling of 2003167920 in words is "two billion, three million, one hundred sixty-seven thousand, nine hundred twenty".