2680853760 has 756 divisors, whose sum is σ = 11038648572. Its totient is φ = 621084672.

The previous prime is 2680853753. The next prime is 2680853767. The reversal of 2680853760 is 673580862.

It is an interprime number because it is at equal distance from previous prime (2680853753) and next prime (2680853767).

It can be written as a sum of positive squares in 6 ways, for example, as 255488256 + 2425365504 = 15984^2 + 49248^2 .

It is a super-2 number, since 2×2680853760² = 14373953765012275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680853767) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 157697272 + ... + 157697288.

It is an arithmetic number, because the mean of its divisors is an integer number (14601387).

Almost surely, 2^2680853760 is an apocalyptic number.

2680853760 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 2680853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519324286).

2680853760 is an abundant number, since it is smaller than the sum of its proper divisors (8357794812).

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

2680853760 is an equidigital number, since it uses as much as digits as its factorization.

2680853760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2680853760 is about 51776.9616721569. The cubic root of 2680853760 is about 1389.1773957197.

The spelling of 2680853760 in words is "two billion, six hundred eighty million, eight hundred fifty-three thousand, seven hundred sixty".