2647645000 has 480 divisors, whose sum is σ = 8706962880. Its totient is φ = 728640000.

The previous prime is 2647644953. The next prime is 2647645009. The reversal of 2647645000 is 5467462.

It is not an unprimeable number, because it can be changed into a prime (2647645009) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 115114989 + ... + 115115011.

It is an arithmetic number, because the mean of its divisors is an integer number (18139506).

Almost surely, 2^2647645000 is an apocalyptic number.

2647645000 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 2647645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353481440).

2647645000 is an abundant number, since it is smaller than the sum of its proper divisors (6059317880).

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

2647645000 is a wasteful number, since it uses less digits than its factorization.

2647645000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 2647645000 is about 51455.2718387533. The cubic root of 2647645000 is about 1383.4174558930.

The spelling of 2647645000 in words is "two billion, six hundred forty-seven million, six hundred forty-five thousand".