2468671296 has 224 divisors, whose sum is σ = 8087197440. Its totient is φ = 647184384.

The previous prime is 2468671253. The next prime is 2468671307. The reversal of 2468671296 is 6921768642.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4000780 + ... + 4001396.

It is an arithmetic number, because the mean of its divisors is an integer number (36103560).

Almost surely, 2^2468671296 is an apocalyptic number.

2468671296 is a gapful number since it is divisible by the number (26) 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 2468671296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043598720).

2468671296 is an abundant number, since it is smaller than the sum of its proper divisors (5618526144).

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

2468671296 is a wasteful number, since it uses less digits than its factorization.

2468671296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 871 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 2468671296 is about 49685.7252739658. The cubic root of 2468671296 is about 1351.5156814800.

The spelling of 2468671296 in words is "two billion, four hundred sixty-eight million, six hundred seventy-one thousand, two hundred ninety-six".