2647863540 has 192 divisors, whose sum is σ = 9534873600. Its totient is φ = 597497472.

The previous prime is 2647863497. The next prime is 2647863601. The reversal of 2647863540 is 453687462.

2647863540 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 8 + 635 + 4 + 0 = 666.

It is a super-2 number, since 2×2647863540² = 14022362652922663200, which contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294187 + ... + 303053.

It is an arithmetic number, because the mean of its divisors is an integer number (49660800).

Almost surely, 2^2647863540 is an apocalyptic number.

2647863540 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 2647863540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767436800).

2647863540 is an abundant number, since it is smaller than the sum of its proper divisors (6887010060).

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

2647863540 is a wasteful number, since it uses less digits than its factorization.

2647863540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8971 (or 8963 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2647863540 is about 51457.3953868635. The cubic root of 2647863540 is about 1383.4555178604.

The spelling of 2647863540 in words is "two billion, six hundred forty-seven million, eight hundred sixty-three thousand, five hundred forty".