2493147734784 has 720 divisors, whose sum is σ = 8725590720000. Its totient is φ = 707725154304.

The previous prime is 2493147734719. The next prime is 2493147734813. The reversal of 2493147734784 is 4874377413942.

It is a happy number.

2493147734784 is a `hidden beast` number, since 2 + 4 + 93 + 1 + 4 + 7 + 73 + 478 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1187777767 + ... + 1187779865.

It is an arithmetic number, because the mean of its divisors is an integer number (12118876000).

Almost surely, 2^{2493147734784} is an apocalyptic number.

2493147734784 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 2493147734784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362795360000).

2493147734784 is an abundant number, since it is smaller than the sum of its proper divisors (6232442985216).

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

2493147734784 is an equidigital number, since it uses as much as digits as its factorization.

2493147734784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2278 counting only the distinct ones).

The product of its digits is 113799168, while the sum is 63.

The spelling of 2493147734784 in words is "two trillion, four hundred ninety-three billion, one hundred forty-seven million, seven hundred thirty-four thousand, seven hundred eighty-four".