2450400000 has 216 divisors, whose sum is σ = 8159509008. Its totient is φ = 652800000.

The previous prime is 2450399971. The next prime is 2450400019. The reversal of 2450400000 is 40542.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2399490 + ... + 2400510.

Almost surely, 2^2450400000 is an apocalyptic number.

2450400000 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 2450400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079754504).

2450400000 is an abundant number, since it is smaller than the sum of its proper divisors (5709109008).

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

2450400000 is an frugal number, since it uses more digits than its factorization.

2450400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2450400000 is about 49501.5151283271. The cubic root of 2450400000 is about 1348.1731118684.

Adding to 2450400000 its reverse (40542), we get a palindrome (2450440542).

The spelling of 2450400000 in words is "two billion, four hundred fifty million, four hundred thousand".