2468748264444 has 144 divisors (see below), whose sum is σ = 7797629548800. Its totient is φ = 639804856320.

The previous prime is 2468748264421. The next prime is 2468748264487. The reversal of 2468748264444 is 4444628478642.

2468748264444 is a `hidden beast` number, since 2 + 4 + 68 + 74 + 8 + 2 + 64 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252867 + ... + 2236389.

It is an arithmetic number, because the mean of its divisors is an integer number (54150205200).

Almost surely, 2^{2468748264444} 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 2468748264444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898814774400).

2468748264444 is an abundant number, since it is smaller than the sum of its proper divisors (5328881284356).

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

2468748264444 is a wasteful number, since it uses less digits than its factorization.

2468748264444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984000 (or 1983995 counting only the distinct ones).

The product of its digits is 264241152, while the sum is 63.

The spelling of 2468748264444 in words is "two trillion, four hundred sixty-eight billion, seven hundred forty-eight million, two hundred sixty-four thousand, four hundred forty-four".