2451306240 has 504 divisors, whose sum is σ = 9168713568. Its totient is φ = 627056640.

The previous prime is 2451306227. The next prime is 2451306241. The reversal of 2451306240 is 426031542.

2451306240 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 30 + 624 + 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 not an unprimeable number, because it can be changed into a prime (2451306241) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 34525405 + ... + 34525475.

It is an arithmetic number, because the mean of its divisors is an integer number (18191892).

Almost surely, 2^2451306240 is an apocalyptic number.

2451306240 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 2451306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584356784).

2451306240 is an abundant number, since it is smaller than the sum of its proper divisors (6717407328).

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

2451306240 is an frugal number, since it uses more digits than its factorization.

2451306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2451306240 is about 49510.6679413639. The cubic root of 2451306240 is about 1348.3392912425.

Adding to 2451306240 its reverse (426031542), we get a palindrome (2877337782).

The spelling of 2451306240 in words is "two billion, four hundred fifty-one million, three hundred six thousand, two hundred forty".