2035085400 has 144 divisors (see below), whose sum is σ = 6849952200. Its totient is φ = 541463040.

The previous prime is 2035085369. The next prime is 2035085401. The reversal of 2035085400 is 45805302.

2035085400 is a `hidden beast` number, since 203 + 50 + 8 + 5 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2035085401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1023207 + ... + 1025193.

Almost surely, 2^2035085400 is an apocalyptic number.

2035085400 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 2035085400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424976100).

2035085400 is an abundant number, since it is smaller than the sum of its proper divisors (4814866800).

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

2035085400 is a wasteful number, since it uses less digits than its factorization.

2035085400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2035085400 is about 45111.9208192247. The cubic root of 2035085400 is about 1267.2458554678.

The spelling of 2035085400 in words is "two billion, thirty-five million, eighty-five thousand, four hundred".