2451254400 has 720 divisors, whose sum is σ = 10577032290. Its totient is φ = 557383680.

The previous prime is 2451254389. The next prime is 2451254401. The reversal of 2451254400 is 44521542.

2451254400 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 254 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1506060864 + 945193536 = 38808^2 + 30744^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 (2451254401) 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 89 ways as a sum of consecutive naturals, for example, 12700704 + ... + 12700896.

Almost surely, 2^2451254400 is an apocalyptic number.

2451254400 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 2451254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288516145).

2451254400 is an abundant number, since it is smaller than the sum of its proper divisors (8125777890).

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

2451254400 is a wasteful number, since it uses less digits than its factorization.

2451254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 210 counting only the distinct ones).

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

The square root of 2451254400 is about 49510.1444150590. The cubic root of 2451254400 is about 1348.3297863235.

Adding to 2451254400 its reverse (44521542), we get a palindrome (2495775942).

The spelling of 2451254400 in words is "two billion, four hundred fifty-one million, two hundred fifty-four thousand, four hundred".