2729778408 has 256 divisors, whose sum is σ = 9068544000. Its totient is φ = 753727680.

The previous prime is 2729778407. The next prime is 2729778419. The reversal of 2729778408 is 8048779272.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2729778407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3796273 + ... + 3796991.

It is an arithmetic number, because the mean of its divisors is an integer number (35424000).

Almost surely, 2^2729778408 is an apocalyptic number.

2729778408 is a gapful number since it is divisible by the number (28) 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 2729778408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534272000).

2729778408 is an abundant number, since it is smaller than the sum of its proper divisors (6338765592).

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

2729778408 is an equidigital number, since it uses as much as digits as its factorization.

2729778408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 2729778408 is about 52247.2813455399. The cubic root of 2729778408 is about 1397.5771713961.

The spelling of 2729778408 in words is "two billion, seven hundred twenty-nine million, seven hundred seventy-eight thousand, four hundred eight".