2450938982400 has 234 divisors, whose sum is σ = 8778739635120. Its totient is φ = 653583482880.

The previous prime is 2450938982369. The next prime is 2450938982407. The reversal of 2450938982400 is 42898390542.

2450938982400 is a `hidden beast` number, since 2 + 4 + 509 + 3 + 8 + 98 + 2 + 40 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2450938982407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 408120 + ... + 2251319.

Almost surely, 2^{2450938982400} is an apocalyptic number.

2450938982400 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 2450938982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389369817560).

2450938982400 is an abundant number, since it is smaller than the sum of its proper divisors (6327800652720).

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

2450938982400 is a wasteful number, since it uses less digits than its factorization.

2450938982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659479 (or 2659449 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2450938982400 in words is "two trillion, four hundred fifty billion, nine hundred thirty-eight million, nine hundred eighty-two thousand, four hundred".