2451422400 has 168 divisors, whose sum is σ = 9191792640. Its totient is φ = 560317440.

The previous prime is 2451422399. The next prime is 2451422411. The reversal of 2451422400 is 42241542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2880 + ... + 70079.

Almost surely, 2^2451422400 is an apocalyptic number.

2451422400 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 2451422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595896320).

2451422400 is an abundant number, since it is smaller than the sum of its proper divisors (6740370240).

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

2451422400 is a wasteful number, since it uses less digits than its factorization.

2451422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72991 (or 72976 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2451422400 is about 49511.8410079852. The cubic root of 2451422400 is about 1348.3605888151.

Adding to 2451422400 its reverse (42241542), we get a palindrome (2493663942).

The spelling of 2451422400 in words is "two billion, four hundred fifty-one million, four hundred twenty-two thousand, four hundred".