1905265840 has 40 divisors (see below), whose sum is σ = 4432716288. Its totient is φ = 761594880.

The previous prime is 1905265829. The next prime is 1905265897. The reversal of 1905265840 is 485625091.

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

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1905265793 and 1905265802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125880 + ... + 140200.

Almost surely, 2^1905265840 is an apocalyptic number.

1905265840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1905265840 is an abundant number, since it is smaller than the sum of its proper divisors (2527450448).

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

1905265840 is a wasteful number, since it uses less digits than its factorization.

1905265840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15997 (or 15991 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 1905265840 is about 43649.3509688288. The cubic root of 1905265840 is about 1239.7054971780.

The spelling of 1905265840 in words is "one billion, nine hundred five million, two hundred sixty-five thousand, eight hundred forty".