2635413066 has 192 divisors, whose sum is σ = 7161073920. Its totient is φ = 688158720.

The previous prime is 2635413059. The next prime is 2635413089. The reversal of 2635413066 is 6603145362.

2635413066 is a `hidden beast` number, since 2 + 635 + 4 + 13 + 0 + 6 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2635413066.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10020451 + ... + 10020713.

It is an arithmetic number, because the mean of its divisors is an integer number (37297260).

Almost surely, 2^2635413066 is an apocalyptic number.

2635413066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2635413066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580536960).

2635413066 is an abundant number, since it is smaller than the sum of its proper divisors (4525660854).

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

2635413066 is a wasteful number, since it uses less digits than its factorization.

2635413066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2635413066 is about 51336.2743681308. The cubic root of 2635413066 is about 1381.2837361293.

The spelling of 2635413066 in words is "two billion, six hundred thirty-five million, four hundred thirteen thousand, sixty-six".