2409355872 has 648 divisors, whose sum is σ = 9387764568. Its totient is φ = 581898240.

The previous prime is 2409355859. The next prime is 2409355891. The reversal of 2409355872 is 2785539042.

2409355872 is a `hidden beast` number, since 2 + 4 + 0 + 93 + 558 + 7 + 2 = 666.

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 29028343 + ... + 29028425.

It is an arithmetic number, because the mean of its divisors is an integer number (14487291).

Almost surely, 2^2409355872 is an apocalyptic number.

2409355872 is a gapful number since it is divisible by the number (22) 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 2409355872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693882284).

2409355872 is an abundant number, since it is smaller than the sum of its proper divisors (6978408696).

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

2409355872 is a wasteful number, since it uses less digits than its factorization.

2409355872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2409355872 is about 49085.1899456445. The cubic root of 2409355872 is about 1340.6034024134.

It can be divided in two parts, 2409 and 355872, that added together give a triangular number (358281 = T₈₄₆).

The spelling of 2409355872 in words is "two billion, four hundred nine million, three hundred fifty-five thousand, eight hundred seventy-two".