2450828800 has 240 divisors, whose sum is σ = 7352341920. Its totient is φ = 790364160.

The previous prime is 2450828777. The next prime is 2450828803. The reversal of 2450828800 is 88280542.

It is a super-4 number, since 4×2450828800⁴ (a number of 39 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2450828800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2450828803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1522396 + ... + 1524004.

It is an arithmetic number, because the mean of its divisors is an integer number (30634758).

Almost surely, 2^2450828800 is an apocalyptic number.

2450828800 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 2450828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676170960).

2450828800 is an abundant number, since it is smaller than the sum of its proper divisors (4901513120).

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

2450828800 is a wasteful number, since it uses less digits than its factorization.

2450828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The square root of 2450828800 is about 49505.8461194231. The cubic root of 2450828800 is about 1348.2517470453.

The spelling of 2450828800 in words is "two billion, four hundred fifty million, eight hundred twenty-eight thousand, eight hundred".