2759049216 has 480 divisors, whose sum is σ = 10317672960. Its totient is φ = 716636160.

The previous prime is 2759049211. The next prime is 2759049269. The reversal of 2759049216 is 6129409572.

2759049216 is a `hidden beast` number, since 2 + 7 + 590 + 49 + 2 + 16 = 666.

It is a super-2 number, since 2×2759049216² = 15224705152620429312, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2759049211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250822651 + ... + 250822661.

It is an arithmetic number, because the mean of its divisors is an integer number (21495152).

Almost surely, 2^2759049216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2759049216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158836480).

2759049216 is an abundant number, since it is smaller than the sum of its proper divisors (7558623744).

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

2759049216 is an frugal number, since it uses more digits than its factorization.

2759049216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2759049216 is about 52526.6524347402. The cubic root of 2759049216 is about 1402.5547257664.

The spelling of 2759049216 in words is "two billion, seven hundred fifty-nine million, forty-nine thousand, two hundred sixteen".