1613082240 has 384 divisors, whose sum is σ = 6946542720. Its totient is φ = 335093760.

The previous prime is 1613082221. The next prime is 1613082271. The reversal of 1613082240 is 422803161.

1613082240 is a `hidden beast` number, since 1 + 613 + 0 + 8 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441702 + ... + 445338.

It is an arithmetic number, because the mean of its divisors is an integer number (18089955).

Almost surely, 2^1613082240 is an apocalyptic number.

1613082240 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 1613082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473271360).

1613082240 is an abundant number, since it is smaller than the sum of its proper divisors (5333460480).

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

1613082240 is a wasteful number, since it uses less digits than its factorization.

1613082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1613082240 is about 40163.1950920242. The cubic root of 1613082240 is about 1172.7861716489.

The spelling of 1613082240 in words is "one billion, six hundred thirteen million, eighty-two thousand, two hundred forty".