2406845952 has 480 divisors, whose sum is σ = 8579450880. Its totient is φ = 634798080.

The previous prime is 2406845929. The next prime is 2406845999. The reversal of 2406845952 is 2595486042.

It is a junction number, because it is equal to n+sod(n) for n = 2406845898 and 2406845907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28998103 + ... + 28998185.

It is an arithmetic number, because the mean of its divisors is an integer number (17873856).

Almost surely, 2^2406845952 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 2406845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289725440).

2406845952 is an abundant number, since it is smaller than the sum of its proper divisors (6172604928).

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

2406845952 is a wasteful number, since it uses less digits than its factorization.

2406845952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2406845952 is about 49059.6163050630. The cubic root of 2406845952 is about 1340.1377210495.

The spelling of 2406845952 in words is "two billion, four hundred six million, eight hundred forty-five thousand, nine hundred fifty-two".