2447126772480 has 864 divisors, whose sum is σ = 9619457265600. Its totient is φ = 569391316992.

The previous prime is 2447126772479. The next prime is 2447126772523. The reversal of 2447126772480 is 842776217442.

2447126772480 is a `hidden beast` number, since 2 + 4 + 4 + 71 + 26 + 7 + 72 + 480 = 666.

It is a super-3 number, since 3×2447126772480³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2017416354 + ... + 2017417566.

Almost surely, 2^{2447126772480} is an apocalyptic number.

2447126772480 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 2447126772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809728632800).

2447126772480 is an abundant number, since it is smaller than the sum of its proper divisors (7172330493120).

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

2447126772480 is a wasteful number, since it uses less digits than its factorization.

2447126772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 2447126772480 in words is "two trillion, four hundred forty-seven billion, one hundred twenty-six million, seven hundred seventy-two thousand, four hundred eighty".