2718325440 has 448 divisors, whose sum is σ = 10460736000. Its totient is φ = 661893120.

The previous prime is 2718325439. The next prime is 2718325451. The reversal of 2718325440 is 445238172.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2718325395 and 2718325404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4760355 + ... + 4760925.

Almost surely, 2^2718325440 is an apocalyptic number.

2718325440 is a gapful number since it is divisible by the number (20) 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 2718325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230368000).

2718325440 is an abundant number, since it is smaller than the sum of its proper divisors (7742410560).

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

2718325440 is a wasteful number, since it uses less digits than its factorization.

2718325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2718325440 is about 52137.5626587972. The cubic root of 2718325440 is about 1395.6198886834.

The spelling of 2718325440 in words is "two billion, seven hundred eighteen million, three hundred twenty-five thousand, four hundred forty".