2035138560 has 540 divisors, whose sum is σ = 8203021848. Its totient is φ = 429391872.

The previous prime is 2035138517. The next prime is 2035138571. The reversal of 2035138560 is 658315302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156549114 + ... + 156549126.

Almost surely, 2^2035138560 is an apocalyptic number.

2035138560 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 2035138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101510924).

2035138560 is an abundant number, since it is smaller than the sum of its proper divisors (6167883288).

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

2035138560 is an equidigital number, since it uses as much as digits as its factorization.

2035138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 2035138560 is about 45112.5100166240. The cubic root of 2035138560 is about 1267.2568895998.

The spelling of 2035138560 in words is "two billion, thirty-five million, one hundred thirty-eight thousand, five hundred sixty".