1995005440 has 80 divisors (see below), whose sum is σ = 4795005600. Its totient is φ = 796057600.

The previous prime is 1995005401. The next prime is 1995005443. The reversal of 1995005440 is 445005991.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1995005440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1995005443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1532790 + ... + 1534090.

It is an arithmetic number, because the mean of its divisors is an integer number (59937570).

Almost surely, 2^1995005440 is an apocalyptic number.

1995005440 is a gapful number since it is divisible by the number (10) 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 1995005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397502800).

1995005440 is an abundant number, since it is smaller than the sum of its proper divisors (2800000160).

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

1995005440 is an equidigital number, since it uses as much as digits as its factorization.

1995005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 1995005440 is about 44665.4837654312. The cubic root of 1995005440 is about 1258.8713837595.

The spelling of 1995005440 in words is "one billion, nine hundred ninety-five million, five thousand, four hundred forty".