1970000240 has 80 divisors (see below), whose sum is σ = 4940308800. Its totient is φ = 726245376.

The previous prime is 1970000191. The next prime is 1970000297. The reversal of 1970000240 is 420000791.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 965141 + ... + 967179.

It is an arithmetic number, because the mean of its divisors is an integer number (61753860).

Almost surely, 2^1970000240 is an apocalyptic number.

1970000240 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 1970000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470154400).

1970000240 is an abundant number, since it is smaller than the sum of its proper divisors (2970308560).

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

1970000240 is a wasteful number, since it uses less digits than its factorization.

1970000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 1970000240 is about 44384.6847459797. The cubic root of 1970000240 is about 1253.5897323887.

The spelling of 1970000240 in words is "one billion, nine hundred seventy million, two hundred forty", and thus it is an aban number.