2406649344 has 240 divisors, whose sum is σ = 7366778496. Its totient is φ = 696340480.

The previous prime is 2406649337. The next prime is 2406649351. The reversal of 2406649344 is 4439466042.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2406649337) and next prime (2406649351).

It is a super-2 number, since 2×2406649344² = 11583922129951260672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2406649296 and 2406649305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4274407 + ... + 4274969.

Almost surely, 2^2406649344 is an apocalyptic number.

2406649344 is a gapful number since it is divisible by the number (24) 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 2406649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683389248).

2406649344 is an abundant number, since it is smaller than the sum of its proper divisors (4960129152).

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

2406649344 is a wasteful number, since it uses less digits than its factorization.

2406649344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The square root of 2406649344 is about 49057.6124979600. The cubic root of 2406649344 is about 1340.1012294506.

The spelling of 2406649344 in words is "two billion, four hundred six million, six hundred forty-nine thousand, three hundred forty-four".