2649600000 has 468 divisors, whose sum is σ = 9982142352. Its totient is φ = 675840000.

The previous prime is 2649599987. The next prime is 2649600029. The reversal of 2649600000 is 69462.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115199989 + ... + 115200011.

It is an arithmetic number, because the mean of its divisors is an integer number (21329364).

Almost surely, 2^2649600000 is an apocalyptic number.

2649600000 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 2649600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991071176).

2649600000 is an abundant number, since it is smaller than the sum of its proper divisors (7332542352).

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

2649600000 is an frugal number, since it uses more digits than its factorization.

2649600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2649600000 is about 51474.2654148653. The cubic root of 2649600000 is about 1383.7578735999.

Adding to 2649600000 its reverse (69462), we get a palindrome (2649669462).

The spelling of 2649600000 in words is "two billion, six hundred forty-nine million, six hundred thousand".