2680505600 has 216 divisors, whose sum is σ = 7144417728. Its totient is φ = 992051200.

The previous prime is 2680505599. The next prime is 2680505603. The reversal of 2680505600 is 65050862.

It is a happy number.

It is a super-2 number, since 2×2680505600² = 14370220543262720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680505603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7724627 + ... + 7724973.

It is an arithmetic number, because the mean of its divisors is an integer number (33076008).

Almost surely, 2^2680505600 is an apocalyptic number.

2680505600 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 2680505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572208864).

2680505600 is an abundant number, since it is smaller than the sum of its proper divisors (4463912128).

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

2680505600 is a wasteful number, since it uses less digits than its factorization.

2680505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 2680505600 is about 51773.5994499127. The cubic root of 2680505600 is about 1389.1172560547.

The spelling of 2680505600 in words is "two billion, six hundred eighty million, five hundred five thousand, six hundred".