2464284416 has 72 divisors (see below), whose sum is σ = 5380830000. Its totient is φ = 1117061120.

The previous prime is 2464284353. The next prime is 2464284467. The reversal of 2464284416 is 6144824642.

It is a super-2 number, since 2×2464284416² = 12145395365880922112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1263410 + ... + 1265358.

It is an arithmetic number, because the mean of its divisors is an integer number (74733750).

Almost surely, 2^2464284416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2464284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690415000).

2464284416 is an abundant number, since it is smaller than the sum of its proper divisors (2916545584).

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

2464284416 is a wasteful number, since it uses less digits than its factorization.

2464284416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2411 counting only the distinct ones).

The product of its digits is 294912, while the sum is 41.

The square root of 2464284416 is about 49641.5593630982. The cubic root of 2464284416 is about 1350.7146496940.

The spelling of 2464284416 in words is "two billion, four hundred sixty-four million, two hundred eighty-four thousand, four hundred sixteen".