2661598752 has 96 divisors (see below), whose sum is σ = 7060193280. Its totient is φ = 877927680.

The previous prime is 2661598747. The next prime is 2661598759. The reversal of 2661598752 is 2578951662.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2661598695 and 2661598704.

It is not an unprimeable number, because it can be changed into a prime (2661598759) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6949153 + ... + 6949535.

It is an arithmetic number, because the mean of its divisors is an integer number (73543680).

Almost surely, 2^2661598752 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 2661598752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530096640).

2661598752 is an abundant number, since it is smaller than the sum of its proper divisors (4398594528).

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

2661598752 is a wasteful number, since it uses less digits than its factorization.

2661598752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 958 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The square root of 2661598752 is about 51590.6847405614. The cubic root of 2661598752 is about 1385.8435176662.

It can be divided in two parts, 266159 and 8752, that added together give a triangular number (274911 = T₇₄₁).

The spelling of 2661598752 in words is "two billion, six hundred sixty-one million, five hundred ninety-eight thousand, seven hundred fifty-two".