2778709752 has 256 divisors, whose sum is σ = 9550464000. Its totient is φ = 728953344.

The previous prime is 2778709709. The next prime is 2778709783. The reversal of 2778709752 is 2579078772.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7331499 + ... + 7331877.

It is an arithmetic number, because the mean of its divisors is an integer number (37306500).

Almost surely, 2^2778709752 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 2778709752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775232000).

2778709752 is an abundant number, since it is smaller than the sum of its proper divisors (6771754248).

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

2778709752 is a wasteful number, since it uses less digits than its factorization.

2778709752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The square root of 2778709752 is about 52713.4684117826. The cubic root of 2778709752 is about 1405.8783027579.

The spelling of 2778709752 in words is "two billion, seven hundred seventy-eight million, seven hundred nine thousand, seven hundred fifty-two".