1240742160 has 240 divisors, whose sum is σ = 4792978944. Its totient is φ = 281760768.

The previous prime is 1240742159. The next prime is 1240742189. The reversal of 1240742160 is 612470421.

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

It is a super-2 number, since 2×1240742160² = 3078882215202931200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 871209 + ... + 872631.

Almost surely, 2^1240742160 is an apocalyptic number.

1240742160 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 1240742160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396489472).

1240742160 is an abundant number, since it is smaller than the sum of its proper divisors (3552236784).

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

1240742160 is a wasteful number, since it uses less digits than its factorization.

1240742160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1240742160 is about 35224.1701108770. The cubic root of 1240742160 is about 1074.5513642637.

The spelling of 1240742160 in words is "one billion, two hundred forty million, seven hundred forty-two thousand, one hundred sixty".