2778759816 has 192 divisors, whose sum is σ = 8507592000. Its totient is φ = 753016320.

The previous prime is 2778759791. The next prime is 2778759827. The reversal of 2778759816 is 6189578772.

It is a super-2 number, since 2×2778759816² = 15443012230032707712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2778759816.

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, 2011446 + ... + 2012826.

It is an arithmetic number, because the mean of its divisors is an integer number (44310375).

Almost surely, 2^2778759816 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 2778759816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253796000).

2778759816 is an abundant number, since it is smaller than the sum of its proper divisors (5728832184).

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

2778759816 is a wasteful number, since it uses less digits than its factorization.

2778759816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1481 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 60.

The square root of 2778759816 is about 52713.9432787948. The cubic root of 2778759816 is about 1405.8867459414.

The spelling of 2778759816 in words is "two billion, seven hundred seventy-eight million, seven hundred fifty-nine thousand, eight hundred sixteen".