2027578560 has 224 divisors, whose sum is σ = 7595323392. Its totient is φ = 448450560.

The previous prime is 2027578537. The next prime is 2027578561. The reversal of 2027578560 is 658757202.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2027578560² = 8222149633943347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2027578561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203454 + ... + 213186.

Almost surely, 2^2027578560 is an apocalyptic number.

2027578560 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 2027578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797661696).

2027578560 is an abundant number, since it is smaller than the sum of its proper divisors (5567744832).

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

2027578560 is a wasteful number, since it uses less digits than its factorization.

2027578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9791 (or 9781 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 2027578560 is about 45028.6415517946. The cubic root of 2027578560 is about 1265.6857681415.

The spelling of 2027578560 in words is "two billion, twenty-seven million, five hundred seventy-eight thousand, five hundred sixty".