241662564 has 216 divisors, whose sum is σ = 757778112. Its totient is φ = 64247040.

The previous prime is 241662557. The next prime is 241662581. The reversal of 241662564 is 465266142.

241662564 is a `hidden beast` number, since 24 + 1 + 6 + 625 + 6 + 4 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1539174 + ... + 1539330.

It is an arithmetic number, because the mean of its divisors is an integer number (3508232).

Almost surely, 2^241662564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241662564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378889056).

241662564 is an abundant number, since it is smaller than the sum of its proper divisors (516115548).

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

241662564 is a wasteful number, since it uses less digits than its factorization.

241662564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 241662564 is about 15545.4997989772. The cubic root of 241662564 is about 622.8781927928.

It can be divided in two parts, 2416 and 62564, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 241662564 in words is "two hundred forty-one million, six hundred sixty-two thousand, five hundred sixty-four".