2134880496 has 320 divisors, whose sum is σ = 7309532160. Its totient is φ = 583925760.

The previous prime is 2134880491. The next prime is 2134880507. The reversal of 2134880496 is 6940884312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134880491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8306800 + ... + 8307056.

It is an arithmetic number, because the mean of its divisors is an integer number (22842288).

Almost surely, 2^2134880496 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 2134880496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654766080).

2134880496 is an abundant number, since it is smaller than the sum of its proper divisors (5174651664).

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

2134880496 is a wasteful number, since it uses less digits than its factorization.

2134880496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2134880496 is about 46204.7670267906. The cubic root of 2134880496 is about 1287.6303061755.

The spelling of 2134880496 in words is "two billion, one hundred thirty-four million, eight hundred eighty thousand, four hundred ninety-six".