2661333632 has 64 divisors (see below), whose sum is σ = 5621130240. Its totient is φ = 1252869120.

The previous prime is 2661333617. The next prime is 2661333643. The reversal of 2661333632 is 2363331662.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2661333632² = 14165393401628622848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2661333592 and 2661333601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137753 + ... + 155879.

It is an arithmetic number, because the mean of its divisors is an integer number (87830160).

Almost surely, 2^2661333632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661333632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810565120).

2661333632 is an abundant number, since it is smaller than the sum of its proper divisors (2959796608).

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

2661333632 is a wasteful number, since it uses less digits than its factorization.

2661333632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18209 (or 18197 counting only the distinct ones).

The product of its digits is 69984, while the sum is 35.

The square root of 2661333632 is about 51588.1152204653. The cubic root of 2661333632 is about 1385.7975018354.

The spelling of 2661333632 in words is "two billion, six hundred sixty-one million, three hundred thirty-three thousand, six hundred thirty-two".