2582380253376 has 1176 divisors, whose sum is σ = 10089038892240. Its totient is φ = 647435980800.

The previous prime is 2582380253353. The next prime is 2582380253377. The reversal of 2582380253376 is 6733520832852.

It is a happy number.

2582380253376 is a `hidden beast` number, since 2 + 5 + 8 + 2 + 38 + 0 + 2 + 533 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2582380253377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 729278166 + ... + 729281706.

Almost surely, 2^{2582380253376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2582380253376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044519446120).

2582380253376 is an abundant number, since it is smaller than the sum of its proper divisors (7506658638864).

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

2582380253376 is a wasteful number, since it uses less digits than its factorization.

2582380253376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 2582380253376 in words is "two trillion, five hundred eighty-two billion, three hundred eighty million, two hundred fifty-three thousand, three hundred seventy-six".