205940192640 has 512 divisors, whose sum is σ = 814368522240. Its totient is φ = 43104337920.

The previous prime is 205940192611. The next prime is 205940192641. The reversal of 205940192640 is 46291049502.

It is a super-2 number, since 2×205940192640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 205940192592 and 205940192601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205940192641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22184800 + ... + 22194080.

It is an arithmetic number, because the mean of its divisors is an integer number (1590563520).

Almost surely, 2^205940192640 is an apocalyptic number.

205940192640 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 205940192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407184261120).

205940192640 is an abundant number, since it is smaller than the sum of its proper divisors (608428329600).

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

205940192640 is a wasteful number, since it uses less digits than its factorization.

205940192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9450 (or 9438 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 205940192640 in words is "two hundred five billion, nine hundred forty million, one hundred ninety-two thousand, six hundred forty".