201025084240 has 20 divisors (see below), whose sum is σ = 467383321044. Its totient is φ = 80410033664.

The previous prime is 201025084207. The next prime is 201025084259. The reversal of 201025084240 is 42480520102.

201025084240 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 2 ways, for example, as 95589798976 + 105435285264 = 309176^2 + 324708^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×201025084240² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201025084199 and 201025084208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1256406697 + ... + 1256406856.

Almost surely, 2^201025084240 is an apocalyptic number.

201025084240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201025084240 is an abundant number, since it is smaller than the sum of its proper divisors (266358236804).

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

201025084240 is a wasteful number, since it uses less digits than its factorization.

201025084240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512813566 (or 2512813560 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The spelling of 201025084240 in words is "two hundred one billion, twenty-five million, eighty-four thousand, two hundred forty".