2606313960 has 96 divisors (see below), whose sum is σ = 8527545000. Its totient is φ = 690338304.

The previous prime is 2606313949. The next prime is 2606313973. The reversal of 2606313960 is 693136062.

2606313960 is a `hidden beast` number, since 260 + 6 + 3 + 1 + 396 + 0 = 666.

2606313960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1780671204 + 825642756 = 42198^2 + 28734^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29346 + ... + 77934.

Almost surely, 2^2606313960 is an apocalyptic number.

2606313960 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 2606313960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263772500).

2606313960 is an abundant number, since it is smaller than the sum of its proper divisors (5921231040).

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

2606313960 is a wasteful number, since it uses less digits than its factorization.

2606313960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48755 (or 48748 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 2606313960 is about 51052.0710647472. The cubic root of 2606313960 is about 1376.1810608257.

The spelling of 2606313960 in words is "two billion, six hundred six million, three hundred thirteen thousand, nine hundred sixty".