2678598720 has 1008 divisors, whose sum is σ = 12015581760. Its totient is φ = 564350976.

The previous prime is 2678598697. The next prime is 2678598721. The reversal of 2678598720 is 278958762.

It is a happy number.

2678598720 is a `hidden beast` number, since 26 + 7 + 8 + 598 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×2678598720² = 14349782205571276800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678598721) 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 143 ways as a sum of consecutive naturals, for example, 72394542 + ... + 72394578.

It is an arithmetic number, because the mean of its divisors is an integer number (11920220).

Almost surely, 2^2678598720 is an apocalyptic number.

2678598720 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 2678598720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007790880).

2678598720 is an abundant number, since it is smaller than the sum of its proper divisors (9336983040).

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

2678598720 is a wasteful number, since it uses less digits than its factorization.

2678598720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 2678598720 is about 51755.1806102539. The cubic root of 2678598720 is about 1388.7877773812.

The spelling of 2678598720 in words is "two billion, six hundred seventy-eight million, five hundred ninety-eight thousand, seven hundred twenty".