1335242880 has 320 divisors, whose sum is σ = 4887432000. Its totient is φ = 347203584.

The previous prime is 1335242873. The next prime is 1335242921. The reversal of 1335242880 is 882425331.

1335242880 is a `hidden beast` number, since 1 + 33 + 524 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2228821 + ... + 2229419.

It is an arithmetic number, because the mean of its divisors is an integer number (15273225).

Almost surely, 2^1335242880 is an apocalyptic number.

1335242880 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 1335242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443716000).

1335242880 is an abundant number, since it is smaller than the sum of its proper divisors (3552189120).

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

1335242880 is an equidigital number, since it uses as much as digits as its factorization.

1335242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 652 counting only the distinct ones).

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

The square root of 1335242880 is about 36540.9753564406. The cubic root of 1335242880 is about 1101.1675976777.

The spelling of 1335242880 in words is "one billion, three hundred thirty-five million, two hundred forty-two thousand, eight hundred eighty".