2442723360 has 768 divisors, whose sum is σ = 10346434560. Its totient is φ = 469647360.

The previous prime is 2442723343. The next prime is 2442723377. The reversal of 2442723360 is 633272442.

It is an interprime number because it is at equal distance from previous prime (2442723343) and next prime (2442723377).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46089094 + ... + 46089146.

It is an arithmetic number, because the mean of its divisors is an integer number (13471920).

Almost surely, 2^2442723360 is an apocalyptic number.

2442723360 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 2442723360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173217280).

2442723360 is an abundant number, since it is smaller than the sum of its proper divisors (7903711200).

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

2442723360 is a wasteful number, since it uses less digits than its factorization.

2442723360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 2442723360 is about 49423.9148591044. The cubic root of 2442723360 is about 1346.7637819495.

The spelling of 2442723360 in words is "two billion, four hundred forty-two million, seven hundred twenty-three thousand, three hundred sixty".