2635122672 has 320 divisors, whose sum is σ = 9859368960. Its totient is φ = 653930496.

The previous prime is 2635122653. The next prime is 2635122691. The reversal of 2635122672 is 2762215362.

2635122672 is a `hidden beast` number, since 2 + 635 + 12 + 2 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2635122653) and next prime (2635122691).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 666333 + ... + 670275.

It is an arithmetic number, because the mean of its divisors is an integer number (30810528).

Almost surely, 2^2635122672 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 2635122672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929684480).

2635122672 is an abundant number, since it is smaller than the sum of its proper divisors (7224246288).

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

2635122672 is a wasteful number, since it uses less digits than its factorization.

2635122672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997 (or 3985 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 2635122672 is about 51333.4459392704. The cubic root of 2635122672 is about 1381.2330000924.

The spelling of 2635122672 in words is "two billion, six hundred thirty-five million, one hundred twenty-two thousand, six hundred seventy-two".