2464578480 has 480 divisors, whose sum is σ = 9803372544. Its totient is φ = 508935168.

The previous prime is 2464578469. The next prime is 2464578533. The reversal of 2464578480 is 848754642.

It is a super-2 number, since 2×2464578480² = 12148294168158220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52437817 + ... + 52437863.

Almost surely, 2^2464578480 is an apocalyptic number.

2464578480 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 2464578480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901686272).

2464578480 is an abundant number, since it is smaller than the sum of its proper divisors (7338794064).

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

2464578480 is an equidigital number, since it uses as much as digits as its factorization.

2464578480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The square root of 2464578480 is about 49644.5211478568. The cubic root of 2464578480 is about 1350.7683746553.

The spelling of 2464578480 in words is "two billion, four hundred sixty-four million, five hundred seventy-eight thousand, four hundred eighty".