1905541940 has 12 divisors (see below), whose sum is σ = 4001638116. Its totient is φ = 762216768.

The previous prime is 1905541903. The next prime is 1905541961. The reversal of 1905541940 is 491455091.

It can be written as a sum of positive squares in 2 ways, for example, as 1119973156 + 785568784 = 33466^2 + 28028^2 .

It is a super-3 number, since 3×1905541940³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1905541894 and 1905541903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47638529 + ... + 47638568.

It is an arithmetic number, because the mean of its divisors is an integer number (333469843).

Almost surely, 2^1905541940 is an apocalyptic number.

1905541940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1905541940 is an abundant number, since it is smaller than the sum of its proper divisors (2096096176).

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

1905541940 is a wasteful number, since it uses less digits than its factorization.

1905541940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95277106 (or 95277104 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 1905541940 is about 43652.5135587861. The cubic root of 1905541940 is about 1239.7653779128.

The spelling of 1905541940 in words is "one billion, nine hundred five million, five hundred forty-one thousand, nine hundred forty".