2426947297920 has 768 divisors, whose sum is σ = 9231416812800. Its totient is φ = 607181930496.

The previous prime is 2426947297913. The next prime is 2426947297921. The reversal of 2426947297920 is 297927496242.

2426947297920 is a `hidden beast` number, since 24 + 269 + 47 + 297 + 9 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (2426947297921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 949137282 + ... + 949139838.

It is an arithmetic number, because the mean of its divisors is an integer number (12020073975).

Almost surely, 2^{2426947297920} is an apocalyptic number.

2426947297920 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 2426947297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615708406400).

2426947297920 is an abundant number, since it is smaller than the sum of its proper divisors (6804469514880).

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

2426947297920 is a wasteful number, since it uses less digits than its factorization.

2426947297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 2426947297920 in words is "two trillion, four hundred twenty-six billion, nine hundred forty-seven million, two hundred ninety-seven thousand, nine hundred twenty".