980250240 has 128 divisors (see below), whose sum is σ = 3147883200. Its totient is φ = 259448832.

The previous prime is 980250239. The next prime is 980250247. The reversal of 980250240 is 42052089.

980250240 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 980250198 and 980250207.

It is not an unprimeable number, because it can be changed into a prime (980250247) 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, 265044 + ... + 268716.

Almost surely, 2^980250240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573941600).

980250240 is an abundant number, since it is smaller than the sum of its proper divisors (2167632960).

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

980250240 is a wasteful number, since it uses less digits than its factorization.

980250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 980250240 is about 31308.9482416769. The cubic root of 980250240 is about 993.3729255673.

The spelling of 980250240 in words is "nine hundred eighty million, two hundred fifty thousand, two hundred forty".