1338242580 has 384 divisors, whose sum is σ = 4702924800. Its totient is φ = 314316288.

The previous prime is 1338242579. The next prime is 1338242593. The reversal of 1338242580 is 852428331.

1338242580 is a `hidden beast` number, since 1 + 3 + 38 + 2 + 42 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 12506887 + ... + 12506993.

It is an arithmetic number, because the mean of its divisors is an integer number (12247200).

Almost surely, 2^1338242580 is an apocalyptic number.

1338242580 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 1338242580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351462400).

1338242580 is an abundant number, since it is smaller than the sum of its proper divisors (3364682220).

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

1338242580 is a wasteful number, since it uses less digits than its factorization.

1338242580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1338242580 is about 36581.9980318189. The cubic root of 1338242580 is about 1101.9915930685.

The spelling of 1338242580 in words is "one billion, three hundred thirty-eight million, two hundred forty-two thousand, five hundred eighty".