2234913408 has 192 divisors, whose sum is σ = 7915689600. Its totient is φ = 589400064.

The previous prime is 2234913407. The next prime is 2234913409. The reversal of 2234913408 is 8043194322.

2234913408 is a `hidden beast` number, since 2 + 234 + 9 + 13 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (2234913407) and next prime (2234913409).

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 not an unprimeable number, because it can be changed into a prime (2234913407) 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, 94173 + ... + 115491.

It is an arithmetic number, because the mean of its divisors is an integer number (41227550).

Almost surely, 2^2234913408 is an apocalyptic number.

2234913408 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 2234913408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957844800).

2234913408 is an abundant number, since it is smaller than the sum of its proper divisors (5680776192).

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

2234913408 is a wasteful number, since it uses less digits than its factorization.

2234913408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21359 (or 21344 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2234913408 is about 47274.8707877663. The cubic root of 2234913408 is about 1307.4353818175.

The spelling of 2234913408 in words is "two billion, two hundred thirty-four million, nine hundred thirteen thousand, four hundred eight".