242217840 has 80 divisors (see below), whose sum is σ = 752371488. Its totient is φ = 64462848.

The previous prime is 242217817. The next prime is 242217841. The reversal of 242217840 is 48712242.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242217798 and 242217807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242217841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233964 + ... + 234996.

Almost surely, 2^242217840 is an apocalyptic number.

242217840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242217840 is an abundant number, since it is smaller than the sum of its proper divisors (510153648).

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

242217840 is a wasteful number, since it uses less digits than its factorization.

242217840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 242217840 is about 15563.3492539363. The cubic root of 242217840 is about 623.3548970842.

The spelling of 242217840 in words is "two hundred forty-two million, two hundred seventeen thousand, eight hundred forty".