2051656000 has 112 divisors (see below), whose sum is σ = 5102699472. Its totient is φ = 817152000.

The previous prime is 2051655997. The next prime is 2051656003. The reversal of 2051656000 is 6561502.

It is an interprime number because it is at equal distance from previous prime (2051655997) and next prime (2051656003).

It can be written as a sum of positive squares in 8 ways, for example, as 1616683264 + 434972736 = 40208^2 + 20856^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051656003) by changing a digit.

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, 2695620 + ... + 2696380.

Almost surely, 2^2051656000 is an apocalyptic number.

2051656000 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 2051656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551349736).

2051656000 is an abundant number, since it is smaller than the sum of its proper divisors (3051043472).

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

2051656000 is an equidigital number, since it uses as much as digits as its factorization.

2051656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 2051656000 is about 45295.2094597210. The cubic root of 2051656000 is about 1270.6760614000.

The spelling of 2051656000 in words is "two billion, fifty-one million, six hundred fifty-six thousand".