242777964 has 72 divisors (see below), whose sum is σ = 669235392. Its totient is φ = 67903680.

The previous prime is 242777963. The next prime is 242778017. The reversal of 242777964 is 469777242.

It is a super-2 number, since 2×242777964² = 117882279607970592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242777963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16867 + ... + 27749.

It is an arithmetic number, because the mean of its divisors is an integer number (9294936).

Almost surely, 2^242777964 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 242777964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334617696).

242777964 is an abundant number, since it is smaller than the sum of its proper divisors (426457428).

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

242777964 is a wasteful number, since it uses less digits than its factorization.

242777964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10927 (or 10912 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 48.

The square root of 242777964 is about 15581.3338325061. Note that the first 3 decimals coincide. The cubic root of 242777964 is about 623.8350258321.

The spelling of 242777964 in words is "two hundred forty-two million, seven hundred seventy-seven thousand, nine hundred sixty-four".