2468519460 has 288 divisors, whose sum is σ = 8524099584. Its totient is φ = 572832000.

The previous prime is 2468519453. The next prime is 2468519479. The reversal of 2468519460 is 649158642.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8040627 + ... + 8040933.

It is an arithmetic number, because the mean of its divisors is an integer number (29597568).

Almost surely, 2^2468519460 is an apocalyptic number.

2468519460 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 2468519460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262049792).

2468519460 is an abundant number, since it is smaller than the sum of its proper divisors (6055580124).

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

2468519460 is a wasteful number, since it uses less digits than its factorization.

2468519460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2468519460 is about 49684.1972864612. The cubic root of 2468519460 is about 1351.4879725201.

The spelling of 2468519460 in words is "two billion, four hundred sixty-eight million, five hundred nineteen thousand, four hundred sixty".