242551440 has 120 divisors (see below), whose sum is σ = 840922368. Its totient is φ = 62588160.

The previous prime is 242551429. The next prime is 242551453. The reversal of 242551440 is 44155242.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×242551440⁴ (a number of 35 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16887 + ... + 27753.

Almost surely, 2^242551440 is an apocalyptic number.

242551440 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 242551440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420461184).

242551440 is an abundant number, since it is smaller than the sum of its proper divisors (598370928).

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

242551440 is a wasteful number, since it uses less digits than its factorization.

242551440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10917 (or 10908 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 242551440 is about 15574.0630536800. The cubic root of 242551440 is about 623.6409423484.

The spelling of 242551440 in words is "two hundred forty-two million, five hundred fifty-one thousand, four hundred forty".