203005580940 has 480 divisors, whose sum is σ = 689977854720. Its totient is φ = 49804844544.

The previous prime is 203005580933. The next prime is 203005580957. The reversal of 203005580940 is 49085500302.

203005580940 is a `hidden beast` number, since 2 + 0 + 30 + 0 + 5 + 580 + 9 + 40 = 666.

It is a super-2 number, since 2×203005580940² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 203005580895 and 203005580904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 174552799 + ... + 174553961.

It is an arithmetic number, because the mean of its divisors is an integer number (1437453864).

Almost surely, 2^203005580940 is an apocalyptic number.

203005580940 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 203005580940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344988927360).

203005580940 is an abundant number, since it is smaller than the sum of its proper divisors (486972273780).

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

203005580940 is a wasteful number, since it uses less digits than its factorization.

203005580940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 203005580940 in words is "two hundred three billion, five million, five hundred eighty thousand, nine hundred forty".