2409882464 has 144 divisors (see below), whose sum is σ = 5704691328. Its totient is φ = 996864000.

The previous prime is 2409882457. The next prime is 2409882487. The reversal of 2409882464 is 4642889042.

It is a happy number.

2409882464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2409882464² = 11615066980589422592, 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 23 ways as a sum of consecutive naturals, for example, 2039954 + ... + 2041134.

It is an arithmetic number, because the mean of its divisors is an integer number (39615912).

Almost surely, 2^2409882464 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 2409882464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852345664).

2409882464 is an abundant number, since it is smaller than the sum of its proper divisors (3294808864).

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

2409882464 is a wasteful number, since it uses less digits than its factorization.

2409882464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 47.

The square root of 2409882464 is about 49090.5537145386. The cubic root of 2409882464 is about 1340.7010633152.

The spelling of 2409882464 in words is "two billion, four hundred nine million, eight hundred eighty-two thousand, four hundred sixty-four".