2067870480 has 240 divisors, whose sum is σ = 7352208000. Its totient is φ = 478912512.

The previous prime is 2067870451. The next prime is 2067870517. The reversal of 2067870480 is 840787602.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688021 + ... + 691019.

It is an arithmetic number, because the mean of its divisors is an integer number (30634200).

Almost surely, 2^2067870480 is an apocalyptic number.

2067870480 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 2067870480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676104000).

2067870480 is an abundant number, since it is smaller than the sum of its proper divisors (5284337520).

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

2067870480 is a wasteful number, since it uses less digits than its factorization.

2067870480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 2067870480 is about 45473.8439105383. The cubic root of 2067870480 is about 1274.0147159205.

The spelling of 2067870480 in words is "two billion, sixty-seven million, eight hundred seventy thousand, four hundred eighty".