2442792960 has 312 divisors, whose sum is σ = 8778458520. Its totient is φ = 627572736.

The previous prime is 2442792959. The next prime is 2442792971. The reversal of 2442792960 is 692972442.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 642318336 + 1800474624 = 25344^2 + 42432^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5345052 + ... + 5345508.

It is an arithmetic number, because the mean of its divisors is an integer number (28136085).

Almost surely, 2^2442792960 is an apocalyptic number.

2442792960 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 2442792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389229260).

2442792960 is an abundant number, since it is smaller than the sum of its proper divisors (6335665560).

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

2442792960 is a wasteful number, since it uses less digits than its factorization.

2442792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2442792960 is about 49424.6189666648. The cubic root of 2442792960 is about 1346.7765728465.

The spelling of 2442792960 in words is "two billion, four hundred forty-two million, seven hundred ninety-two thousand, nine hundred sixty".