2052451440 has 320 divisors, whose sum is σ = 8016153600. Its totient is φ = 478503936.

The previous prime is 2052451433. The next prime is 2052451469. The reversal of 2052451440 is 441542502.

2052451440 is a `hidden beast` number, since 205 + 2 + 451 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531597 + ... + 535443.

It is an arithmetic number, because the mean of its divisors is an integer number (25050480).

Almost surely, 2^2052451440 is an apocalyptic number.

2052451440 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 2052451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008076800).

2052451440 is an abundant number, since it is smaller than the sum of its proper divisors (5963702160).

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

2052451440 is a wasteful number, since it uses less digits than its factorization.

2052451440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3889 counting only the distinct ones).

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

The square root of 2052451440 is about 45303.9892283229. The cubic root of 2052451440 is about 1270.8402565624.

Adding to 2052451440 its reverse (441542502), we get a palindrome (2493993942).

The spelling of 2052451440 in words is "two billion, fifty-two million, four hundred fifty-one thousand, four hundred forty".