2600385840 has 240 divisors, whose sum is σ = 9442812288. Its totient is φ = 637507584.

The previous prime is 2600385839. The next prime is 2600385869. The reversal of 2600385840 is 485830062.

2600385840 is a `hidden beast` number, since 2 + 600 + 3 + 8 + 5 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 2600385795 and 2600385804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3434742 + ... + 3435498.

Almost surely, 2^2600385840 is an apocalyptic number.

2600385840 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 2600385840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721406144).

2600385840 is an abundant number, since it is smaller than the sum of its proper divisors (6842426448).

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

2600385840 is a wasteful number, since it uses less digits than its factorization.

2600385840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2600385840 is about 50993.9784680505. The cubic root of 2600385840 is about 1375.1368837830.

The spelling of 2600385840 in words is "two billion, six hundred million, three hundred eighty-five thousand, eight hundred forty".