2680470240 has 384 divisors, whose sum is σ = 10315081728. Its totient is φ = 571146240.

The previous prime is 2680470229. The next prime is 2680470251. The reversal of 2680470240 is 420740862.

It is an interprime number because it is at equal distance from previous prime (2680470229) and next prime (2680470251).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9538900 + ... + 9539180.

It is an arithmetic number, because the mean of its divisors is an integer number (26862192).

Almost surely, 2^2680470240 is an apocalyptic number.

2680470240 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 2680470240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157540864).

2680470240 is an abundant number, since it is smaller than the sum of its proper divisors (7634611488).

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

2680470240 is a wasteful number, since it uses less digits than its factorization.

2680470240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2680470240 is about 51773.2579620020. The cubic root of 2680470240 is about 1389.1111478287. Note that the first 4 decimals are identical.

The spelling of 2680470240 in words is "two billion, six hundred eighty million, four hundred seventy thousand, two hundred forty".