205994028240 has 1920 divisors, whose sum is σ = 1000935936000. Its totient is φ = 37309870080.

The previous prime is 205994028223. The next prime is 205994028257. The reversal of 205994028240 is 42820499502.

205994028240 is a `hidden beast` number, since 205 + 99 + 40 + 282 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (205994028223) and next prime (205994028257).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 670990167 + ... + 670990473.

It is an arithmetic number, because the mean of its divisors is an integer number (521320800).

Almost surely, 2^205994028240 is an apocalyptic number.

205994028240 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 205994028240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500467968000).

205994028240 is an abundant number, since it is smaller than the sum of its proper divisors (794941907760).

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

205994028240 is a wasteful number, since it uses less digits than its factorization.

205994028240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 205994028240 in words is "two hundred five billion, nine hundred ninety-four million, twenty-eight thousand, two hundred forty".