2661495648 has 192 divisors, whose sum is σ = 8463813120. Its totient is φ = 716083200.

The previous prime is 2661495643. The next prime is 2661495659. The reversal of 2661495648 is 8465941662.

It is a self number, because there is not a number n which added to its sum of digits gives 2661495648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661495643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 797343 + ... + 800673.

It is an arithmetic number, because the mean of its divisors is an integer number (44082360).

Almost surely, 2^2661495648 is an apocalyptic number.

2661495648 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 2661495648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231906560).

2661495648 is an abundant number, since it is smaller than the sum of its proper divisors (5802317472).

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

2661495648 is a wasteful number, since it uses less digits than its factorization.

2661495648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3413 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 2661495648 is about 51589.6854807238. The cubic root of 2661495648 is about 1385.8256226754.

The spelling of 2661495648 in words is "two billion, six hundred sixty-one million, four hundred ninety-five thousand, six hundred forty-eight".