2493178688 has 112 divisors (see below), whose sum is σ = 6642835584. Its totient is φ = 896624640.

The previous prime is 2493178669. The next prime is 2493178693. The reversal of 2493178688 is 8868713942.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 44606 + ... + 83522.

It is an arithmetic number, because the mean of its divisors is an integer number (59311032).

Almost surely, 2^2493178688 is an apocalyptic number.

2493178688 is a gapful number since it is divisible by the number (28) 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 2493178688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321417792).

2493178688 is an abundant number, since it is smaller than the sum of its proper divisors (4149656896).

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

2493178688 is a wasteful number, since it uses less digits than its factorization.

2493178688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38960 (or 38950 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 56.

The square root of 2493178688 is about 49931.7402861146. The cubic root of 2493178688 is about 1355.9732912715.

It can be divided in two parts, 2493 and 178688, that added together give a palindrome (181181).

The spelling of 2493178688 in words is "two billion, four hundred ninety-three million, one hundred seventy-eight thousand, six hundred eighty-eight".