242761860 has 288 divisors, whose sum is σ = 880588800. Its totient is φ = 55520640.

The previous prime is 242761859. The next prime is 242761877. The reversal of 242761860 is 68167242.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 1015621 + ... + 1015859.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 2^242761860 is an apocalyptic number.

242761860 is a gapful number since it is divisible by the number (20) 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 242761860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

242761860 is an abundant number, since it is smaller than the sum of its proper divisors (637826940).

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

242761860 is a wasteful number, since it uses less digits than its factorization.

242761860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 242761860 is about 15580.8170517467. The cubic root of 242761860 is about 623.8212320742.

The spelling of 242761860 in words is "two hundred forty-two million, seven hundred sixty-one thousand, eight hundred sixty".