2067622128 has 480 divisors, whose sum is σ = 7279534080. Its totient is φ = 539136000.

The previous prime is 2067622111. The next prime is 2067622147. The reversal of 2067622128 is 8212267602.

2067622128 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 622 + 1 + 28 = 666.

It is a super-2 number, since 2×2067622128² = 8550122528390496768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2067622092 and 2067622101.

It is a congruent number.

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, 26172393 + ... + 26172471.

It is an arithmetic number, because the mean of its divisors is an integer number (15165696).

Almost surely, 2^2067622128 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 2067622128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639767040).

2067622128 is an abundant number, since it is smaller than the sum of its proper divisors (5211911952).

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

2067622128 is a wasteful number, since it uses less digits than its factorization.

2067622128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2067622128 is about 45471.1131159113. The cubic root of 2067622128 is about 1273.9637106676.

The spelling of 2067622128 in words is "two billion, sixty-seven million, six hundred twenty-two thousand, one hundred twenty-eight".