2451450240 has 192 divisors, whose sum is σ = 8738870400. Its totient is φ = 632586240.

The previous prime is 2451450233. The next prime is 2451450247. The reversal of 2451450240 is 420541542.

It is an interprime number because it is at equal distance from previous prime (2451450233) and next prime (2451450247).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451450247) 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 23 ways as a sum of consecutive naturals, for example, 171696 + ... + 185424.

It is an arithmetic number, because the mean of its divisors is an integer number (45514950).

Almost surely, 2^2451450240 is an apocalyptic number.

2451450240 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 2451450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369435200).

2451450240 is an abundant number, since it is smaller than the sum of its proper divisors (6287420160).

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

2451450240 is a wasteful number, since it uses less digits than its factorization.

2451450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13785 (or 13770 counting only the distinct ones).

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

The square root of 2451450240 is about 49512.1221520548. The cubic root of 2451450240 is about 1348.3656930921.

Adding to 2451450240 its reverse (420541542), we get a palindrome (2871991782).

The spelling of 2451450240 in words is "two billion, four hundred fifty-one million, four hundred fifty thousand, two hundred forty".