2470506482880 has 672 divisors, whose sum is σ = 9129212688960. Its totient is φ = 612007280640.

The previous prime is 2470506482737. The next prime is 2470506482881. The reversal of 2470506482880 is 882846050742.

2470506482880 is a `hidden beast` number, since 2 + 4 + 70 + 506 + 48 + 28 + 8 + 0 = 666.

It is a super-2 number, since 2×2470506482880² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2470506482881) 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, 249970419 + ... + 249980301.

It is an arithmetic number, because the mean of its divisors is an integer number (13585137930).

Almost surely, 2^{2470506482880} is an apocalyptic number.

2470506482880 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 2470506482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564606344480).

2470506482880 is an abundant number, since it is smaller than the sum of its proper divisors (6658706206080).

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

2470506482880 is a wasteful number, since it uses less digits than its factorization.

2470506482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10049 (or 10036 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 2470506482880 in words is "two trillion, four hundred seventy billion, five hundred six million, four hundred eighty-two thousand, eight hundred eighty".