2647304640 has 224 divisors, whose sum is σ = 9376623360. Its totient is φ = 703116288.

The previous prime is 2647304609. The next prime is 2647304659. The reversal of 2647304640 is 464037462.

2647304640 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 3 + 0 + 4 + 640 = 666.

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 = 2647304595 and 2647304604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2997639 + ... + 2998521.

Almost surely, 2^2647304640 is an apocalyptic number.

2647304640 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 2647304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688311680).

2647304640 is an abundant number, since it is smaller than the sum of its proper divisors (6729318720).

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

2647304640 is a wasteful number, since it uses less digits than its factorization.

2647304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2647304640 is about 51451.9643939860. The cubic root of 2647304640 is about 1383.3581730028.

The spelling of 2647304640 in words is "two billion, six hundred forty-seven million, three hundred four thousand, six hundred forty".