2936763648 has 864 divisors, whose sum is σ = 11744006400. Its totient is φ = 715309056.

The previous prime is 2936763601. The next prime is 2936763649. The reversal of 2936763648 is 8463676392.

It is a tau number, because it is divible by the number of its divisors (864).

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 junction number, because it is equal to n+sod(n) for n = 2936763594 and 2936763603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2936763649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101267698 + ... + 101267726.

It is an arithmetic number, because the mean of its divisors is an integer number (13592600).

Almost surely, 2^2936763648 is an apocalyptic number.

2936763648 is a gapful number since it is divisible by the number (28) 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 2936763648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872003200).

2936763648 is an abundant number, since it is smaller than the sum of its proper divisors (8807242752).

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

2936763648 is a wasteful number, since it uses less digits than its factorization.

2936763648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 2936763648 is about 54191.9149689324. The cubic root of 2936763648 is about 1432.0439007379.

The spelling of 2936763648 in words is "two billion, nine hundred thirty-six million, seven hundred sixty-three thousand, six hundred forty-eight".