2542672038582 has 640 divisors, whose sum is σ = 6938198467200. Its totient is φ = 692354138112.

The previous prime is 2542672038547. The next prime is 2542672038583. The reversal of 2542672038582 is 2858302762452.

2542672038582 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 6 + 7 + 20 + 38 + 582 = 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 (2542672038583) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7545020718 + ... + 7545021054.

It is an arithmetic number, because the mean of its divisors is an integer number (10840935105).

Almost surely, 2^{2542672038582} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542672038582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469099233600).

2542672038582 is an abundant number, since it is smaller than the sum of its proper divisors (4395526428618).

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

2542672038582 is a wasteful number, since it uses less digits than its factorization.

2542672038582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 2542672038582 in words is "two trillion, five hundred forty-two billion, six hundred seventy-two million, thirty-eight thousand, five hundred eighty-two".