2450724268608 has 1008 divisors, whose sum is σ = 9543660392448. Its totient is φ = 615952512000.

The previous prime is 2450724268537. The next prime is 2450724268613. The reversal of 2450724268608 is 8068624270542.

2450724268608 is a `hidden beast` number, since 2 + 4 + 5 + 0 + 7 + 2 + 4 + 26 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 259853653 + ... + 259863083.

It is an arithmetic number, because the mean of its divisors is an integer number (9467917056).

Almost surely, 2^{2450724268608} is an apocalyptic number.

2450724268608 is a gapful number since it is divisible by the number (28) 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 2450724268608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4771830196224).

2450724268608 is an abundant number, since it is smaller than the sum of its proper divisors (7092936123840).

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

2450724268608 is a wasteful number, since it uses less digits than its factorization.

2450724268608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514 (or 9485 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 2450724268608 in words is "two trillion, four hundred fifty billion, seven hundred twenty-four million, two hundred sixty-eight thousand, six hundred eight".