2675721600 has 672 divisors, whose sum is σ = 10506440640. Its totient is φ = 671846400.

The previous prime is 2675721599. The next prime is 2675721611. The reversal of 2675721600 is 61275762.

2675721600 is a `hidden beast` number, since 26 + 7 + 5 + 7 + 21 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 72316782 + ... + 72316818.

Almost surely, 2^2675721600 is an apocalyptic number.

2675721600 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 2675721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253220320).

2675721600 is an abundant number, since it is smaller than the sum of its proper divisors (7830719040).

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

2675721600 is an equidigital number, since it uses as much as digits as its factorization.

2675721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2675721600 is about 51727.3776640572. The cubic root of 2675721600 is about 1388.2903605129.

The spelling of 2675721600 in words is "two billion, six hundred seventy-five million, seven hundred twenty-one thousand, six hundred".