2400242426496 has 256 divisors, whose sum is σ = 7331387904000. Its totient is φ = 772169158656.

The previous prime is 2400242426471. The next prime is 2400242426503. The reversal of 2400242426496 is 6946242420042.

2400242426496 is a `hidden beast` number, since 240 + 0 + 24 + 242 + 64 + 96 = 666.

It is a super-2 number, since 2×2400242426496² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397585590 + ... + 397591626.

It is an arithmetic number, because the mean of its divisors is an integer number (28638234000).

Almost surely, 2^{2400242426496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400242426496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665693952000).

2400242426496 is an abundant number, since it is smaller than the sum of its proper divisors (4931145477504).

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

2400242426496 is a wasteful number, since it uses less digits than its factorization.

2400242426496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10056 (or 10038 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 2400242426496 in words is "two trillion, four hundred billion, two hundred forty-two million, four hundred twenty-six thousand, four hundred ninety-six".