1218522240 has 192 divisors, whose sum is σ = 4531658040. Its totient is φ = 299925504.

The previous prime is 1218522223. The next prime is 1218522259. The reversal of 1218522240 is 422258121.

It can be written as a sum of positive squares in 4 ways, for example, as 1066936896 + 151585344 = 32664^2 + 12312^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66744 + ... + 83016.

Almost surely, 2^1218522240 is an apocalyptic number.

1218522240 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 1218522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265829020).

1218522240 is an abundant number, since it is smaller than the sum of its proper divisors (3313135800).

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

1218522240 is a wasteful number, since it uses less digits than its factorization.

1218522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16311 (or 16296 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1218522240 is about 34907.3379105311. The cubic root of 1218522240 is about 1068.0981267412.

The spelling of 1218522240 in words is "one billion, two hundred eighteen million, five hundred twenty-two thousand, two hundred forty".