2004457896 has 288 divisors, whose sum is σ = 7042464000. Its totient is φ = 510354432.

The previous prime is 2004457849. The next prime is 2004457907. The reversal of 2004457896 is 6987544002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1138665 + ... + 1140423.

It is an arithmetic number, because the mean of its divisors is an integer number (24453000).

Almost surely, 2^2004457896 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 2004457896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521232000).

2004457896 is an abundant number, since it is smaller than the sum of its proper divisors (5038006104).

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

2004457896 is a wasteful number, since it uses less digits than its factorization.

2004457896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2004457896 is about 44771.1726002346. The cubic root of 2004457896 is about 1260.8564547506.

The spelling of 2004457896 in words is "two billion, four million, four hundred fifty-seven thousand, eight hundred ninety-six".