2636778960 has 320 divisors, whose sum is σ = 9770803200. Its totient is φ = 651483648.

The previous prime is 2636778929. The next prime is 2636778961. The reversal of 2636778960 is 698776362.

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

It is a junction number, because it is equal to n+sod(n) for n = 2636778897 and 2636778906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2636778961) 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, 1928197 + ... + 1929563.

It is an arithmetic number, because the mean of its divisors is an integer number (30533760).

Almost surely, 2^2636778960 is an apocalyptic number.

2636778960 is a gapful number since it is divisible by the number (20) 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 2636778960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885401600).

2636778960 is an abundant number, since it is smaller than the sum of its proper divisors (7134024240).

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

2636778960 is a wasteful number, since it uses less digits than its factorization.

2636778960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 2636778960 is about 51349.5760449879. The cubic root of 2636778960 is about 1381.5223276096.

The spelling of 2636778960 in words is "two billion, six hundred thirty-six million, seven hundred seventy-eight thousand, nine hundred sixty".