2647791360 has 216 divisors, whose sum is σ = 9644041680. Its totient is φ = 668860416.

The previous prime is 2647791359. The next prime is 2647791431. The reversal of 2647791360 is 631977462.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212832 + ... + 224928.

Almost surely, 2^2647791360 is an apocalyptic number.

2647791360 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 2647791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822020840).

2647791360 is an abundant number, since it is smaller than the sum of its proper divisors (6996250320).

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

2647791360 is a wasteful number, since it uses less digits than its factorization.

2647791360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12143 (or 12126 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2647791360 is about 51456.6940251703. The cubic root of 2647791360 is about 1383.4429468794.

The spelling of 2647791360 in words is "two billion, six hundred forty-seven million, seven hundred ninety-one thousand, three hundred sixty".