2706493440 has 624 divisors, whose sum is σ = 10757076480. Its totient is φ = 578027520.

The previous prime is 2706493373. The next prime is 2706493453. The reversal of 2706493440 is 443946072.

It is a congruent number.

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, 87306225 + ... + 87306255.

Almost surely, 2^2706493440 is an apocalyptic number.

2706493440 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 2706493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378538240).

2706493440 is an abundant number, since it is smaller than the sum of its proper divisors (8050583040).

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

2706493440 is a wasteful number, since it uses less digits than its factorization.

2706493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 2706493440 is about 52023.9698600559. The cubic root of 2706493440 is about 1393.5920481918.

The spelling of 2706493440 in words is "two billion, seven hundred six million, four hundred ninety-three thousand, four hundred forty".