2582494137216 has 768 divisors, whose sum is σ = 9739054656000. Its totient is φ = 668609593344.

The previous prime is 2582494137211. The next prime is 2582494137227. The reversal of 2582494137216 is 6127314942852.

It is a happy number.

2582494137216 is a `hidden beast` number, since 2 + 5 + 8 + 2 + 4 + 9 + 413 + 7 + 216 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582494137211) 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, 73985880 + ... + 74020776.

It is an arithmetic number, because the mean of its divisors is an integer number (12681060750).

Almost surely, 2^{2582494137216} 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 2582494137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869527328000).

2582494137216 is an abundant number, since it is smaller than the sum of its proper divisors (7156560518784).

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

2582494137216 is a wasteful number, since it uses less digits than its factorization.

2582494137216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34976 (or 34951 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 2582494137216 in words is "two trillion, five hundred eighty-two billion, four hundred ninety-four million, one hundred thirty-seven thousand, two hundred sixteen".