2835008100 has 324 divisors, whose sum is σ = 9609736500. Its totient is φ = 725034240.

The previous prime is 2835008089. The next prime is 2835008131. The reversal of 2835008100 is 18005382.

It is a happy number.

2835008100 is a `hidden beast` number, since 2 + 83 + 500 + 81 + 0 + 0 = 666.

2835008100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 329204736 + 2505803364 = 18144^2 + 50058^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×2835008100² = 16074541854131220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19026826 + ... + 19026974.

Almost surely, 2^2835008100 is an apocalyptic number.

2835008100 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 2835008100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804868250).

2835008100 is an abundant number, since it is smaller than the sum of its proper divisors (6774728400).

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

2835008100 is a wasteful number, since it uses less digits than its factorization.

2835008100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2835008100 is about 53244.7941117251. The cubic root of 2835008100 is about 1415.3095420062.

It can be divided in two parts, 283500 and 8100, that added together give a square (291600 = 540²).

The spelling of 2835008100 in words is "two billion, eight hundred thirty-five million, eight thousand, one hundred".