10205612240 has 40 divisors (see below), whose sum is σ = 23901271560. Its totient is φ = 4052443136.

The previous prime is 10205612237. The next prime is 10205612267. The reversal of 10205612240 is 4221650201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1223880256 + 8981731984 = 34984^2 + 94772^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454625 + ... + 476544.

It is an arithmetic number, because the mean of its divisors is an integer number (597531789).

Almost surely, 2^10205612240 is an apocalyptic number.

10205612240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205612240 is an abundant number, since it is smaller than the sum of its proper divisors (13695659320).

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

10205612240 is a wasteful number, since it uses less digits than its factorization.

10205612240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931319 (or 931313 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 10205612240 in words is "ten billion, two hundred five million, six hundred twelve thousand, two hundred forty".