2464242480 has 320 divisors, whose sum is σ = 10272199680. Its totient is φ = 530067456.

The previous prime is 2464242401. The next prime is 2464242503. The reversal of 2464242480 is 842424642.

It is a happy number.

2464242480 is a `hidden beast` number, since 2 + 4 + 642 + 4 + 2 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252247 + ... + 261833.

It is an arithmetic number, because the mean of its divisors is an integer number (32100624).

Almost surely, 2^2464242480 is an apocalyptic number.

2464242480 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 2464242480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136099840).

2464242480 is an abundant number, since it is smaller than the sum of its proper divisors (7807957200).

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

2464242480 is a wasteful number, since it uses less digits than its factorization.

2464242480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9633 (or 9621 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 2464242480 is about 49641.1369732805. The cubic root of 2464242480 is about 1350.7069877144.

The spelling of 2464242480 in words is "two billion, four hundred sixty-four million, two hundred forty-two thousand, four hundred eighty".