2442760320 has 1024 divisors, whose sum is σ = 11054776320. Its totient is φ = 442368000.

The previous prime is 2442760249. The next prime is 2442760321. The reversal of 2442760320 is 230672442.

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

It is not an unprimeable number, because it can be changed into a prime (2442760321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59579500 + ... + 59579540.

It is an arithmetic number, because the mean of its divisors is an integer number (10795680).

Almost surely, 2^2442760320 is an apocalyptic number.

2442760320 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 2442760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527388160).

2442760320 is an abundant number, since it is smaller than the sum of its proper divisors (8612016000).

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

2442760320 is a wasteful number, since it uses less digits than its factorization.

2442760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 2442760320 is about 49424.2887657476. The cubic root of 2442760320 is about 1346.7705743871.

The spelling of 2442760320 in words is "two billion, four hundred forty-two million, seven hundred sixty thousand, three hundred twenty".