2680719600 has 240 divisors, whose sum is σ = 9299404800. Its totient is φ = 656194560.

The previous prime is 2680719599. The next prime is 2680719617. The reversal of 2680719600 is 69170862.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3728041 + ... + 3728759.

It is an arithmetic number, because the mean of its divisors is an integer number (38747520).

Almost surely, 2^2680719600 is an apocalyptic number.

2680719600 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 2680719600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649702400).

2680719600 is an abundant number, since it is smaller than the sum of its proper divisors (6618685200).

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

2680719600 is a wasteful number, since it uses less digits than its factorization.

2680719600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2680719600 is about 51775.6660990470. Note that the first 3 decimals coincide. The cubic root of 2680719600 is about 1389.1542221135.

The spelling of 2680719600 in words is "two billion, six hundred eighty million, seven hundred nineteen thousand, six hundred".