1305050240 has 128 divisors (see below), whose sum is σ = 3379561920. Its totient is φ = 479047680.

The previous prime is 1305050231. The next prime is 1305050249. The reversal of 1305050240 is 420505031.

It is an interprime number because it is at equal distance from previous prime (1305050231) and next prime (1305050249).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1305050240² = 3406312257848115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1305050249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1888295 + ... + 1888985.

Almost surely, 2^1305050240 is an apocalyptic number.

1305050240 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 1305050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689780960).

1305050240 is an abundant number, since it is smaller than the sum of its proper divisors (2074511680).

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

1305050240 is a wasteful number, since it uses less digits than its factorization.

1305050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1305050240 is about 36125.4790971691. The cubic root of 1305050240 is about 1092.8043379200.

Adding to 1305050240 its reverse (420505031), we get a palindrome (1725555271).

The spelling of 1305050240 in words is "one billion, three hundred five million, fifty thousand, two hundred forty".