2582037984 has 48 divisors (see below), whose sum is σ = 7134583680. Its totient is φ = 815379840.

The previous prime is 2582037977. The next prime is 2582038009. The reversal of 2582037984 is 4897302852.

2582037984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 705972 + ... + 709619.

It is an arithmetic number, because the mean of its divisors is an integer number (148637160).

Almost surely, 2^2582037984 is an apocalyptic number.

2582037984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2582037984 is an abundant number, since it is smaller than the sum of its proper divisors (4552545696).

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

2582037984 is a wasteful number, since it uses less digits than its factorization.

2582037984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415623 (or 1415615 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 2582037984 is about 50813.7578220702. The cubic root of 2582037984 is about 1371.8950073645.

The spelling of 2582037984 in words is "two billion, five hundred eighty-two million, thirty-seven thousand, nine hundred eighty-four".