2680470000 has 600 divisors, whose sum is σ = 10575364800. Its totient is φ = 628992000.

The previous prime is 2680469989. The next prime is 2680470017. The reversal of 2680470000 is 740862.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33929961 + ... + 33930039.

It is an arithmetic number, because the mean of its divisors is an integer number (17625608).

Almost surely, 2^2680470000 is an apocalyptic number.

2680470000 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 2680470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287682400).

2680470000 is an abundant number, since it is smaller than the sum of its proper divisors (7894894800).

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

2680470000 is a wasteful number, since it uses less digits than its factorization.

2680470000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2680470000 is about 51773.2556442030. The cubic root of 2680470000 is about 1389.1111063700. Note that the first 4 decimals are identical.

The spelling of 2680470000 in words is "two billion, six hundred eighty million, four hundred seventy thousand".