2482532582400 has 2640 divisors, whose sum is σ = 10784014570560. Its totient is φ = 558976204800.

The previous prime is 2482532582371. The next prime is 2482532582449. The reversal of 2482532582400 is 42852352842.

2482532582400 is a `hidden beast` number, since 2 + 4 + 8 + 25 + 3 + 2 + 582 + 40 + 0 = 666.

It is a super-2 number, since 2×2482532582400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18950630335 + ... + 18950630465.

It is an arithmetic number, because the mean of its divisors is an integer number (4084854004).

Almost surely, 2^{2482532582400} is an apocalyptic number.

2482532582400 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 2482532582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392007285280).

2482532582400 is an abundant number, since it is smaller than the sum of its proper divisors (8301481988160).

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

2482532582400 is a wasteful number, since it uses less digits than its factorization.

2482532582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 2482532582400 in words is "two trillion, four hundred eighty-two billion, five hundred thirty-two million, five hundred eighty-two thousand, four hundred".