2906241408 has 192 divisors, whose sum is σ = 9653280000. Its totient is φ = 822057984.

The previous prime is 2906241407. The next prime is 2906241449. The reversal of 2906241408 is 8041426092.

2906241408 is a `hidden beast` number, since 2 + 9 + 0 + 6 + 241 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2906241407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828843 + ... + 832341.

It is an arithmetic number, because the mean of its divisors is an integer number (50277500).

Almost surely, 2^2906241408 is an apocalyptic number.

2906241408 is a gapful number since it is divisible by the number (28) 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 2906241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826640000).

2906241408 is an abundant number, since it is smaller than the sum of its proper divisors (6747038592).

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

2906241408 is a wasteful number, since it uses less digits than its factorization.

2906241408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2906241408 is about 53909.5669431688. The cubic root of 2906241408 is about 1427.0654620241.

The spelling of 2906241408 in words is "two billion, nine hundred six million, two hundred forty-one thousand, four hundred eight".