2741988496 has 135 divisors (see below), whose sum is σ = 6188125419. Its totient is φ = 1176304896.

The previous prime is 2741988481. The next prime is 2741988517. The reversal of 2741988496 is 6948891472.

The square root of 2741988496 is 52364.

It is a perfect power (a square), and thus also a powerful number.

2741988496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 71166096 + 2670822400 = 8436^2 + 51680^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2741988496.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51735606 + ... + 51735658.

Almost surely, 2^2741988496 is an apocalyptic number.

2741988496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2741988496 is the 52364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2741988496

2741988496 is an abundant number, since it is smaller than the sum of its proper divisors (3446136923).

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

2741988496 is a wasteful number, since it uses less digits than its factorization.

2741988496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 87 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 58.

The cubic root of 2741988496 is about 1399.6578238580.

The spelling of 2741988496 in words is "two billion, seven hundred forty-one million, nine hundred eighty-eight thousand, four hundred ninety-six".