2661133640 has 96 divisors (see below), whose sum is σ = 6693624000. Its totient is φ = 951181440.

The previous prime is 2661133639. The next prime is 2661133663. The reversal of 2661133640 is 463311662.

It is a junction number, because it is equal to n+sod(n) for n = 2661133597 and 2661133606.

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 23 ways as a sum of consecutive naturals, for example, 280901 + ... + 290219.

It is an arithmetic number, because the mean of its divisors is an integer number (69725250).

Almost surely, 2^2661133640 is an apocalyptic number.

2661133640 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 2661133640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346812000).

2661133640 is an abundant number, since it is smaller than the sum of its proper divisors (4032490360).

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

2661133640 is a wasteful number, since it uses less digits than its factorization.

2661133640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9411 (or 9396 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 2661133640 is about 51586.1768306200. The cubic root of 2661133640 is about 1385.7627879920.

The spelling of 2661133640 in words is "two billion, six hundred sixty-one million, one hundred thirty-three thousand, six hundred forty".