2482167520000 has 720 divisors, whose sum is σ = 7458212608000. Its totient is φ = 823011840000.

The previous prime is 2482167519961. The next prime is 2482167520039. The reversal of 2482167520000 is 257612842.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2482167519961) and next prime (2482167520039).

It is a super-2 number, since 2×2482167520000² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1701279271 + ... + 1701280729.

Almost surely, 2^{2482167520000} is an apocalyptic number.

2482167520000 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 2482167520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729106304000).

2482167520000 is an abundant number, since it is smaller than the sum of its proper divisors (4976045088000).

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

2482167520000 is an frugal number, since it uses more digits than its factorization.

2482167520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 2482167520000 in words is "two trillion, four hundred eighty-two billion, one hundred sixty-seven million, five hundred twenty thousand".