2454834816 has 512 divisors, whose sum is σ = 9024307200. Its totient is φ = 640991232.

The previous prime is 2454834791. The next prime is 2454834817. The reversal of 2454834816 is 6184384542.

2454834816 is a `hidden beast` number, since 24 + 548 + 3 + 4 + 81 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2454834817) 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, 19329345 + ... + 19329471.

It is an arithmetic number, because the mean of its divisors is an integer number (17625600).

Almost surely, 2^2454834816 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 2454834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512153600).

2454834816 is an abundant number, since it is smaller than the sum of its proper divisors (6569472384).

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

2454834816 is a wasteful number, since it uses less digits than its factorization.

2454834816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 2454834816 is about 49546.2896289924. The cubic root of 2454834816 is about 1348.9859446537.

The spelling of 2454834816 in words is "two billion, four hundred fifty-four million, eight hundred thirty-four thousand, eight hundred sixteen".