2718905420 has 192 divisors, whose sum is σ = 7331530752. Its totient is φ = 822528000.

The previous prime is 2718905419. The next prime is 2718905503. The reversal of 2718905420 is 245098172.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 9675680 + ... + 9675960.

It is an arithmetic number, because the mean of its divisors is an integer number (38185056).

Almost surely, 2^2718905420 is an apocalyptic number.

2718905420 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 2718905420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665765376).

2718905420 is an abundant number, since it is smaller than the sum of its proper divisors (4612625332).

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

2718905420 is a wasteful number, since it uses less digits than its factorization.

2718905420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 2718905420 is about 52143.1243789629. The cubic root of 2718905420 is about 1395.7191377838.

The spelling of 2718905420 in words is "two billion, seven hundred eighteen million, nine hundred five thousand, four hundred twenty".