2667680730 has 256 divisors, whose sum is σ = 8470586880. Its totient is φ = 596263680.

The previous prime is 2667680713. The next prime is 2667680773. The reversal of 2667680730 is 370867662.

2667680730 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3126984 + ... + 3127836.

It is an arithmetic number, because the mean of its divisors is an integer number (33088230).

Almost surely, 2^2667680730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2667680730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235293440).

2667680730 is an abundant number, since it is smaller than the sum of its proper divisors (5802906150).

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

2667680730 is a wasteful number, since it uses less digits than its factorization.

2667680730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2667680730 is about 51649.5956421732. The cubic root of 2667680730 is about 1386.8983044860.

The spelling of 2667680730 in words is "two billion, six hundred sixty-seven million, six hundred eighty thousand, seven hundred thirty".