2451322800 has 180 divisors, whose sum is σ = 8586189040. Its totient is φ = 647585280.

The previous prime is 2451322787. The next prime is 2451322807. The reversal of 2451322800 is 82231542.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (2451322807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 389277 + ... + 395523.

Almost surely, 2^2451322800 is an apocalyptic number.

2451322800 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 2451322800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293094520).

2451322800 is an abundant number, since it is smaller than the sum of its proper divisors (6134866240).

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

2451322800 is a wasteful number, since it uses less digits than its factorization.

2451322800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6380 (or 6366 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2451322800 is about 49510.8351777669. The cubic root of 2451322800 is about 1348.3423275078.

The spelling of 2451322800 in words is "two billion, four hundred fifty-one million, three hundred twenty-two thousand, eight hundred".