2659601952 has 384 divisors, whose sum is σ = 9224409600. Its totient is φ = 739031040.

The previous prime is 2659601843. The next prime is 2659601999. The reversal of 2659601952 is 2591069562.

It is a happy number.

2659601952 is a `hidden beast` number, since 2 + 6 + 596 + 0 + 1 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2659601898 and 2659601907.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 29883124 + ... + 29883212.

It is an arithmetic number, because the mean of its divisors is an integer number (24021900).

Almost surely, 2^2659601952 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 2659601952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612204800).

2659601952 is an abundant number, since it is smaller than the sum of its proper divisors (6564807648).

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

2659601952 is an frugal number, since it uses more digits than its factorization.

2659601952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 2659601952 is about 51571.3287786925. The cubic root of 2659601952 is about 1385.4968657846.

The spelling of 2659601952 in words is "two billion, six hundred fifty-nine million, six hundred one thousand, nine hundred fifty-two".