2636868816 has 140 divisors (see below), whose sum is σ = 7708382500. Its totient is φ = 873400320.

The previous prime is 2636868809. The next prime is 2636868853. The reversal of 2636868816 is 6188686362.

2636868816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 399200400 + 2237668416 = 19980^2 + 47304^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2110560 + ... + 2111808.

It is an arithmetic number, because the mean of its divisors is an integer number (55059875).

Almost surely, 2^2636868816 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 2636868816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854191250).

2636868816 is an abundant number, since it is smaller than the sum of its proper divisors (5071513684).

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

2636868816 is a wasteful number, since it uses less digits than its factorization.

2636868816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1435 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 2636868816 is about 51350.4509814666. The cubic root of 2636868816 is about 1381.5380205772.

The spelling of 2636868816 in words is "two billion, six hundred thirty-six million, eight hundred sixty-eight thousand, eight hundred sixteen".