2334741408 has 120 divisors (see below), whose sum is σ = 7165132128. Its totient is φ = 744391296.

The previous prime is 2334741401. The next prime is 2334741419. The reversal of 2334741408 is 8041474332.

2334741408 is a `hidden beast` number, since 233 + 4 + 7 + 414 + 0 + 8 = 666.

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 (2334741401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40035 + ... + 79197.

Almost surely, 2^2334741408 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 2334741408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582566064).

2334741408 is an abundant number, since it is smaller than the sum of its proper divisors (4830390720).

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

2334741408 is a wasteful number, since it uses less digits than its factorization.

2334741408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39208 (or 39191 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2334741408 is about 48319.1619132617. The cubic root of 2334741408 is about 1326.6191494419.

The spelling of 2334741408 in words is "two billion, three hundred thirty-four million, seven hundred forty-one thousand, four hundred eight".