242767920 has 80 divisors (see below), whose sum is σ = 754451712. Its totient is φ = 64577280.

The previous prime is 242767909. The next prime is 242767933. The reversal of 242767920 is 29767242.

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

It is a super-2 number, since 2×242767920² = 117872525962252800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119715 + ... + 121725.

Almost surely, 2^242767920 is an apocalyptic number.

242767920 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 242767920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377225856).

242767920 is an abundant number, since it is smaller than the sum of its proper divisors (511683792).

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

242767920 is a wasteful number, since it uses less digits than its factorization.

242767920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 242767920 is about 15581.0115204373. The cubic root of 242767920 is about 623.8264227924.

The spelling of 242767920 in words is "two hundred forty-two million, seven hundred sixty-seven thousand, nine hundred twenty".