2767680000 has 450 divisors, whose sum is σ = 10313813367. Its totient is φ = 714240000.

The previous prime is 2767679977. The next prime is 2767680043. The reversal of 2767680000 is 867672.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 639887616 + 2127792384 = 25296^2 + 46128^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=37200.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 89279985 + ... + 89280015.

Almost surely, 2^2767680000 is an apocalyptic number.

2767680000 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 2767680000

2767680000 is an abundant number, since it is smaller than the sum of its proper divisors (7546133367).

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

2767680000 is an frugal number, since it uses more digits than its factorization.

2767680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2767680000 is about 52608.7445202791. The cubic root of 2767680000 is about 1404.0156815157.

The spelling of 2767680000 in words is "two billion, seven hundred sixty-seven million, six hundred eighty thousand".