1979238240 has 240 divisors, whose sum is σ = 7983293472. Its totient is φ = 452376576.

The previous prime is 1979238211. The next prime is 1979238253. The reversal of 1979238240 is 428329791.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 79812 + ... + 101628.

Almost surely, 2^1979238240 is an apocalyptic number.

1979238240 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 1979238240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991646736).

1979238240 is an abundant number, since it is smaller than the sum of its proper divisors (6004055232).

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

1979238240 is a wasteful number, since it uses less digits than its factorization.

1979238240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21851 (or 21834 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1979238240 is about 44488.6304576799. The cubic root of 1979238240 is about 1255.5461800479.

The spelling of 1979238240 in words is "one billion, nine hundred seventy-nine million, two hundred thirty-eight thousand, two hundred forty".