2163414528 has 320 divisors, whose sum is σ = 7177040640. Its totient is φ = 637747200.

The previous prime is 2163414527. The next prime is 2163414541. The reversal of 2163414528 is 8254143612.

It is a happy number.

2163414528 is a `hidden beast` number, since 2 + 1 + 634 + 14 + 5 + 2 + 8 = 666.

It is a super-2 number, since 2×2163414528² = 9360724839922925568, which contains 22 as substring.

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 = 2163414492 and 2163414501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163414521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6234451 + ... + 6234797.

It is an arithmetic number, because the mean of its divisors is an integer number (22428252).

Almost surely, 2^2163414528 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 2163414528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588520320).

2163414528 is an abundant number, since it is smaller than the sum of its proper divisors (5013626112).

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

2163414528 is a wasteful number, since it uses less digits than its factorization.

2163414528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 404 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2163414528 is about 46512.5201209309. The cubic root of 2163414528 is about 1293.3416014870.

The spelling of 2163414528 in words is "two billion, one hundred sixty-three million, four hundred fourteen thousand, five hundred twenty-eight".