2442142560 has 384 divisors, whose sum is σ = 9242118144. Its totient is φ = 534159360.

The previous prime is 2442142543. The next prime is 2442142567. The reversal of 2442142560 is 652412442.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442142567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3225702 + ... + 3226458.

It is an arithmetic number, because the mean of its divisors is an integer number (24068016).

Almost surely, 2^2442142560 is an apocalyptic number.

2442142560 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 2442142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621059072).

2442142560 is an abundant number, since it is smaller than the sum of its proper divisors (6799975584).

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

2442142560 is a wasteful number, since it uses less digits than its factorization.

2442142560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2442142560 is about 49418.0388117538. The cubic root of 2442142560 is about 1346.6570346445.

The spelling of 2442142560 in words is "two billion, four hundred forty-two million, one hundred forty-two thousand, five hundred sixty".