1979249580 has 672 divisors, whose sum is σ = 8144091648. Its totient is φ = 391910400.

The previous prime is 1979249561. The next prime is 1979249611. The reversal of 1979249580 is 859429791.

1979249580 is a `hidden beast` number, since 1 + 9 + 79 + 2 + 495 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 46029039 + ... + 46029081.

It is an arithmetic number, because the mean of its divisors is an integer number (12119184).

Almost surely, 2^1979249580 is an apocalyptic number.

1979249580 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 1979249580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072045824).

1979249580 is an abundant number, since it is smaller than the sum of its proper divisors (6164842068).

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

1979249580 is a wasteful number, since it uses less digits than its factorization.

1979249580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 1979249580 is about 44488.7579057901. The cubic root of 1979249580 is about 1255.5485779177.

The spelling of 1979249580 in words is "one billion, nine hundred seventy-nine million, two hundred forty-nine thousand, five hundred eighty".