2718949479840 has 288 divisors, whose sum is σ = 10272984636096. Its totient is φ = 649301114880.

The previous prime is 2718949479839. The next prime is 2718949479859. The reversal of 2718949479840 is 489749498172.

2718949479840 is a `hidden beast` number, since 2 + 7 + 1 + 8 + 9 + 494 + 7 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 219697 + ... + 2342256.

It is an arithmetic number, because the mean of its divisors is an integer number (35670085542).

Almost surely, 2^{2718949479840} is an apocalyptic number.

2718949479840 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 2718949479840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136492318048).

2718949479840 is an abundant number, since it is smaller than the sum of its proper divisors (7554035156256).

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

2718949479840 is a wasteful number, since it uses less digits than its factorization.

2718949479840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562052 (or 2562041 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 2718949479840 in words is "two trillion, seven hundred eighteen billion, nine hundred forty-nine million, four hundred seventy-nine thousand, eight hundred forty".