2471873760720 has 1920 divisors, whose sum is σ = 10851055488000. Its totient is φ = 500716339200.

The previous prime is 2471873760709. The next prime is 2471873760751. The reversal of 2471873760720 is 270673781742.

2471873760720 is a `hidden beast` number, since 2 + 4 + 7 + 1 + 8 + 7 + 3 + 7 + 607 + 20 = 666.

It is a super-2 number, since 2×2471873760720² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11715041415 + ... + 11715041625.

It is an arithmetic number, because the mean of its divisors is an integer number (5651591400).

Almost surely, 2^{2471873760720} is an apocalyptic number.

2471873760720 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 2471873760720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425527744000).

2471873760720 is an abundant number, since it is smaller than the sum of its proper divisors (8379181727280).

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

2471873760720 is a wasteful number, since it uses less digits than its factorization.

2471873760720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 2471873760720 in words is "two trillion, four hundred seventy-one billion, eight hundred seventy-three million, seven hundred sixty thousand, seven hundred twenty".