2468751264 has 192 divisors, whose sum is σ = 8334950400. Its totient is φ = 696294144.

The previous prime is 2468751239. The next prime is 2468751283. The reversal of 2468751264 is 4621578642.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 475209 + ... + 480375.

It is an arithmetic number, because the mean of its divisors is an integer number (43411200).

Almost surely, 2^2468751264 is an apocalyptic number.

2468751264 is a gapful number since it is divisible by the number (24) 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 2468751264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167475200).

2468751264 is an abundant number, since it is smaller than the sum of its proper divisors (5866199136).

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

2468751264 is a wasteful number, since it uses less digits than its factorization.

2468751264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272 (or 5258 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2468751264 is about 49686.5300056263. The cubic root of 2468751264 is about 1351.5302745986.

The spelling of 2468751264 in words is "two billion, four hundred sixty-eight million, seven hundred fifty-one thousand, two hundred sixty-four".