2055421440 has 320 divisors, whose sum is σ = 7389169920. Its totient is φ = 541532160.

The previous prime is 2055421439. The next prime is 2055421441. The reversal of 2055421440 is 441245502.

It is an interprime number because it is at equal distance from previous prime (2055421439) and next prime (2055421441).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055421441) 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 31 ways as a sum of consecutive naturals, for example, 9054607 + ... + 9054833.

It is an arithmetic number, because the mean of its divisors is an integer number (23091156).

Almost surely, 2^2055421440 is an apocalyptic number.

2055421440 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 2055421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694584960).

2055421440 is an abundant number, since it is smaller than the sum of its proper divisors (5333748480).

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

2055421440 is a wasteful number, since it uses less digits than its factorization.

2055421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2055421440 is about 45336.7559492295. The cubic root of 2055421440 is about 1271.4529509516.

Adding to 2055421440 its reverse (441245502), we get a palindrome (2496666942).

The spelling of 2055421440 in words is "two billion, fifty-five million, four hundred twenty-one thousand, four hundred forty".