2681963760 has 320 divisors, whose sum is σ = 10239344640. Its totient is φ = 567198720.

The previous prime is 2681963747. The next prime is 2681963777. The reversal of 2681963760 is 673691862.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1196721 + ... + 1198959.

It is an arithmetic number, because the mean of its divisors is an integer number (31997952).

Almost surely, 2^2681963760 is an apocalyptic number.

2681963760 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 2681963760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119672320).

2681963760 is an abundant number, since it is smaller than the sum of its proper divisors (7557380880).

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

2681963760 is a wasteful number, since it uses less digits than its factorization.

2681963760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 2681963760 is about 51787.6796159086. The cubic root of 2681963760 is about 1389.3690976025.

The spelling of 2681963760 in words is "two billion, six hundred eighty-one million, nine hundred sixty-three thousand, seven hundred sixty".