2450402380800 has 792 divisors, whose sum is σ = 9604887055920. Its totient is φ = 591947366400.

The previous prime is 2450402380793. The next prime is 2450402380901. The reversal of 2450402380800 is 80832040542.

2450402380800 is a `hidden beast` number, since 245 + 0 + 402 + 3 + 8 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 793265656 + ... + 793268744.

Almost surely, 2^{2450402380800} is an apocalyptic number.

2450402380800 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 2450402380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802443527960).

2450402380800 is an abundant number, since it is smaller than the sum of its proper divisors (7154484675120).

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

2450402380800 is a wasteful number, since it uses less digits than its factorization.

2450402380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 2450402380800 in words is "two trillion, four hundred fifty billion, four hundred two million, three hundred eighty thousand, eight hundred".