2649936384 has 360 divisors, whose sum is σ = 8512423920. Its totient is φ = 822638592.

The previous prime is 2649936383. The next prime is 2649936397. The reversal of 2649936384 is 4836399462.

It is a super-4 number, since 4×2649936384⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2649936384.

It is not an unprimeable number, because it can be changed into a prime (2649936383) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44914147 + ... + 44914205.

It is an arithmetic number, because the mean of its divisors is an integer number (23645622).

Almost surely, 2^2649936384 is an apocalyptic number.

2649936384 is a gapful number since it is divisible by the number (24) 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 2649936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256211960).

2649936384 is an abundant number, since it is smaller than the sum of its proper divisors (5862487536).

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

2649936384 is an frugal number, since it uses more digits than its factorization.

2649936384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 83 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 2649936384 is about 51477.5328080125. The cubic root of 2649936384 is about 1383.8164301508.

The spelling of 2649936384 in words is "two billion, six hundred forty-nine million, nine hundred thirty-six thousand, three hundred eighty-four".