2051101440 has 360 divisors, whose sum is σ = 7467206208. Its totient is φ = 537477120.

The previous prime is 2051101399. The next prime is 2051101447. The reversal of 2051101440 is 441011502.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2051101447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7568505 + ... + 7568775.

Almost surely, 2^2051101440 is an apocalyptic number.

2051101440 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 2051101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733603104).

2051101440 is an abundant number, since it is smaller than the sum of its proper divisors (5416104768).

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

2051101440 is an equidigital number, since it uses as much as digits as its factorization.

2051101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2051101440 is about 45289.0874273262. The cubic root of 2051101440 is about 1270.5615637103.

Adding to 2051101440 its reverse (441011502), we get a palindrome (2492112942).

The spelling of 2051101440 in words is "two billion, fifty-one million, one hundred one thousand, four hundred forty".