2067100560 has 400 divisors, whose sum is σ = 8282208000. Its totient is φ = 468052992.

The previous prime is 2067100547. The next prime is 2067100583. The reversal of 2067100560 is 650017602.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9026526 + ... + 9026754.

It is an arithmetic number, because the mean of its divisors is an integer number (20705520).

Almost surely, 2^2067100560 is an apocalyptic number.

2067100560 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 2067100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141104000).

2067100560 is an abundant number, since it is smaller than the sum of its proper divisors (6215107440).

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

2067100560 is a wasteful number, since it uses less digits than its factorization.

2067100560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2067100560 is about 45465.3775965844. The cubic root of 2067100560 is about 1273.8565804246.

The spelling of 2067100560 in words is "two billion, sixty-seven million, one hundred thousand, five hundred sixty".