2408113890 has 192 divisors, whose sum is σ = 7972473600. Its totient is φ = 490516992.

The previous prime is 2408113879. The next prime is 2408113913. The reversal of 2408113890 is 983118042.

2408113890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232441 + ... + 242579.

It is an arithmetic number, because the mean of its divisors is an integer number (41523300).

Almost surely, 2^2408113890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2408113890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986236800).

2408113890 is an abundant number, since it is smaller than the sum of its proper divisors (5564359710).

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

2408113890 is a wasteful number, since it uses less digits than its factorization.

2408113890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10201 (or 10198 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2408113890 is about 49072.5370242868. The cubic root of 2408113890 is about 1340.3730100652.

The spelling of 2408113890 in words is "two billion, four hundred eight million, one hundred thirteen thousand, eight hundred ninety".