2467234560 has 288 divisors, whose sum is σ = 9065548800. Its totient is φ = 560185344.

The previous prime is 2467234559. The next prime is 2467234613. The reversal of 2467234560 is 654327642.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7069266 + ... + 7069614.

It is an arithmetic number, because the mean of its divisors is an integer number (31477600).

Almost surely, 2^2467234560 is an apocalyptic number.

2467234560 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 2467234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532774400).

2467234560 is an abundant number, since it is smaller than the sum of its proper divisors (6598314240).

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

2467234560 is a wasteful number, since it uses less digits than its factorization.

2467234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 2467234560 is about 49671.2649325543. The cubic root of 2467234560 is about 1351.2534421593.

The spelling of 2467234560 in words is "two billion, four hundred sixty-seven million, two hundred thirty-four thousand, five hundred sixty".