2647894320 has 160 divisors (see below), whose sum is σ = 9517248000. Its totient is φ = 675392256.

The previous prime is 2647894273. The next prime is 2647894351. The reversal of 2647894320 is 234987462.

2647894320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2647894320² = 14022688659776524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 23031 + ... + 76329.

It is an arithmetic number, because the mean of its divisors is an integer number (59482800).

Almost surely, 2^2647894320 is an apocalyptic number.

2647894320 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 2647894320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758624000).

2647894320 is an abundant number, since it is smaller than the sum of its proper divisors (6869353680).

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

2647894320 is a wasteful number, since it uses less digits than its factorization.

2647894320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53344 (or 53332 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2647894320 is about 51457.6944683689. The cubic root of 2647894320 is about 1383.4608784835.

The spelling of 2647894320 in words is "two billion, six hundred forty-seven million, eight hundred ninety-four thousand, three hundred twenty".