2780688064 has 168 divisors, whose sum is σ = 7062368400. Its totient is φ = 1074124800.

The previous prime is 2780688061. The next prime is 2780688077. The reversal of 2780688064 is 4608860872.

It is a super-2 number, since 2×2780688064² = 15464452218544136192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 2780687999 and 2780688017.

It is not an unprimeable number, because it can be changed into a prime (2780688061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5139634 + ... + 5140174.

Almost surely, 2^2780688064 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 2780688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531184200).

2780688064 is an abundant number, since it is smaller than the sum of its proper divisors (4281680336).

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

2780688064 is a wasteful number, since it uses less digits than its factorization.

2780688064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The square root of 2780688064 is about 52732.2298409616. The cubic root of 2780688064 is about 1406.2118635808.

The spelling of 2780688064 in words is "two billion, seven hundred eighty million, six hundred eighty-eight thousand, sixty-four".