2402274705600 has 2016 divisors, whose sum is σ = 10682529060096. Its totient is φ = 465725030400.

The previous prime is 2402274705529. The next prime is 2402274705731. The reversal of 2402274705600 is 65074722042.

It is a happy number.

It is a super-2 number, since 2×2402274705600² (a number of 26 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 8488603059 + ... + 8488603341.

Almost surely, 2^{2402274705600} is an apocalyptic number.

2402274705600 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 2402274705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5341264530048).

2402274705600 is an abundant number, since it is smaller than the sum of its proper divisors (8280254354496).

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

2402274705600 is a wasteful number, since it uses less digits than its factorization.

2402274705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 2402274705600 in words is "two trillion, four hundred two billion, two hundred seventy-four million, seven hundred five thousand, six hundred".