2450877004800 has 1848 divisors, whose sum is σ = 10593540008736. Its totient is φ = 550376570880.

The previous prime is 2450877004769. The next prime is 2450877004837. The reversal of 2450877004800 is 84007780542.

2450877004800 is a `hidden beast` number, since 24 + 5 + 0 + 87 + 70 + 0 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9536486272 + ... + 9536486528.

Almost surely, 2^{2450877004800} is an apocalyptic number.

2450877004800 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 2450877004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296770004368).

2450877004800 is an abundant number, since it is smaller than the sum of its proper divisors (8142663003936).

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

2450877004800 is an equidigital number, since it uses as much as digits as its factorization.

2450877004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 2450877004800 in words is "two trillion, four hundred fifty billion, eight hundred seventy-seven million, four thousand, eight hundred".