2465213460480 has 728 divisors, whose sum is σ = 8932852055088. Its totient is φ = 652712214528.

The previous prime is 2465213460433. The next prime is 2465213460527. The reversal of 2465213460480 is 840643125642.

2465213460480 is a `hidden beast` number, since 2 + 4 + 6 + 5 + 2 + 1 + 34 + 604 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2465213460433) and next prime (2465213460527).

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 (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2433576454 + ... + 2433577466.

Almost surely, 2^{2465213460480} is an apocalyptic number.

2465213460480 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 2465213460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466426027544).

2465213460480 is an abundant number, since it is smaller than the sum of its proper divisors (6467638594608).

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

2465213460480 is an equidigital number, since it uses as much as digits as its factorization.

2465213460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 2465213460480 in words is "two trillion, four hundred sixty-five billion, two hundred thirteen million, four hundred sixty thousand, four hundred eighty".