2464916580 has 216 divisors, whose sum is σ = 8863421112. Its totient is φ = 552674304.

The previous prime is 2464916561. The next prime is 2464916593. The reversal of 2464916580 is 856194642.

2464916580 is a `hidden beast` number, since 2 + 4 + 64 + 9 + 1 + 6 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 433972224 + 2030944356 = 20832^2 + 45066^2 .

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 71 ways as a sum of consecutive naturals, for example, 464824 + ... + 470096.

It is an arithmetic number, because the mean of its divisors is an integer number (41034357).

Almost surely, 2^2464916580 is an apocalyptic number.

2464916580 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 2464916580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431710556).

2464916580 is an abundant number, since it is smaller than the sum of its proper divisors (6398504532).

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

2464916580 is a wasteful number, since it uses less digits than its factorization.

2464916580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5343 counting only the distinct ones).

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

The square root of 2464916580 is about 49647.9262406800. The cubic root of 2464916580 is about 1350.8301396331.

The spelling of 2464916580 in words is "two billion, four hundred sixty-four million, nine hundred sixteen thousand, five hundred eighty".