2647138368 has 336 divisors, whose sum is σ = 8756294400. Its totient is φ = 701568000.

The previous prime is 2647138367. The next prime is 2647138381. The reversal of 2647138368 is 8638317462.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2647138367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10546243 + ... + 10546493.

It is an arithmetic number, because the mean of its divisors is an integer number (26060400).

Almost surely, 2^2647138368 is an apocalyptic number.

2647138368 is a gapful number since it is divisible by the number (28) 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 2647138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378147200).

2647138368 is an abundant number, since it is smaller than the sum of its proper divisors (6109156032).

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

2647138368 is a wasteful number, since it uses less digits than its factorization.

2647138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 341 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 2647138368 is about 51450.3485702478. The cubic root of 2647138368 is about 1383.3292103940.

The spelling of 2647138368 in words is "two billion, six hundred forty-seven million, one hundred thirty-eight thousand, three hundred sixty-eight".