2051608000 has 112 divisors (see below), whose sum is σ = 5471915904. Its totient is φ = 757478400.

The previous prime is 2051607997. The next prime is 2051608021. The reversal of 2051608000 is 8061502.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94137 + ... + 113863.

It is an arithmetic number, because the mean of its divisors is an integer number (48856392).

Almost surely, 2^2051608000 is an apocalyptic number.

2051608000 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 2051608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735957952).

2051608000 is an abundant number, since it is smaller than the sum of its proper divisors (3420307904).

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

2051608000 is a wasteful number, since it uses less digits than its factorization.

2051608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19767 (or 19747 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 2051608000 is about 45294.6795992642. The cubic root of 2051608000 is about 1270.6661518559. Note that the first 3 decimals are identical.

Adding to 2051608000 its reverse (8061502), we get a palindrome (2059669502).

The spelling of 2051608000 in words is "two billion, fifty-one million, six hundred eight thousand".