2162528640 has 384 divisors, whose sum is σ = 7830295200. Its totient is φ = 549421056.

The previous prime is 2162528623. The next prime is 2162528653. The reversal of 2162528640 is 468252612.

It is a happy number.

2162528640 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 5 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 2162528595 and 2162528604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15557691 + ... + 15557829.

Almost surely, 2^2162528640 is an apocalyptic number.

2162528640 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 2162528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915147600).

2162528640 is an abundant number, since it is smaller than the sum of its proper divisors (5667766560).

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

2162528640 is a wasteful number, since it uses less digits than its factorization.

2162528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

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

The square root of 2162528640 is about 46502.9960325139. The cubic root of 2162528640 is about 1293.1650422846.

The spelling of 2162528640 in words is "two billion, one hundred sixty-two million, five hundred twenty-eight thousand, six hundred forty".