2005520160 has 192 divisors, whose sum is σ = 7239456000. Its totient is φ = 457162752.

The previous prime is 2005520147. The next prime is 2005520171. The reversal of 2005520160 is 610255002.

It is a super-2 number, since 2×2005520160² = 8044222224332851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1911316 + ... + 1912364.

It is an arithmetic number, because the mean of its divisors is an integer number (37705500).

Almost surely, 2^2005520160 is an apocalyptic number.

2005520160 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 2005520160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619728000).

2005520160 is an abundant number, since it is smaller than the sum of its proper divisors (5233935840).

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

2005520160 is a wasteful number, since it uses less digits than its factorization.

2005520160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2005520160 is about 44783.0342875514. The cubic root of 2005520160 is about 1261.0791460320.

Adding to 2005520160 its reverse (610255002), we get a palindrome (2615775162).

The spelling of 2005520160 in words is "two billion, five million, five hundred twenty thousand, one hundred sixty".