2585342784 has 112 divisors (see below), whose sum is σ = 7164799488. Its totient is φ = 821196288.

The previous prime is 2585342737. The next prime is 2585342789. The reversal of 2585342784 is 4872435852.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585342789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354759 + ... + 1356665.

It is an arithmetic number, because the mean of its divisors is an integer number (63971424).

Almost surely, 2^2585342784 is an apocalyptic number.

2585342784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585342784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582399744).

2585342784 is an abundant number, since it is smaller than the sum of its proper divisors (4579456704).

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

2585342784 is a wasteful number, since it uses less digits than its factorization.

2585342784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2242 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 48.

The square root of 2585342784 is about 50846.2661756003. The cubic root of 2585342784 is about 1372.4800627493.

The spelling of 2585342784 in words is "two billion, five hundred eighty-five million, three hundred forty-two thousand, seven hundred eighty-four".