2584438040 has 32 divisors (see below), whose sum is σ = 5830202880. Its totient is φ = 1031069952.

The previous prime is 2584438019. The next prime is 2584438061. The reversal of 2584438040 is 408344852.

It is an interprime number because it is at equal distance from previous prime (2584438019) and next prime (2584438061).

It is a junction number, because it is equal to n+sod(n) for n = 2584437985 and 2584438003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69029 + ... + 99668.

It is an arithmetic number, because the mean of its divisors is an integer number (182193840).

Almost surely, 2^2584438040 is an apocalyptic number.

2584438040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2584438040 is an abundant number, since it is smaller than the sum of its proper divisors (3245764840).

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

2584438040 is a wasteful number, since it uses less digits than its factorization.

2584438040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169091 (or 169087 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

The square root of 2584438040 is about 50837.3685392940. The cubic root of 2584438040 is about 1372.3199436879.

The spelling of 2584438040 in words is "two billion, five hundred eighty-four million, four hundred thirty-eight thousand, forty".