2571984 has 60 divisors (see below), whose sum is σ = 7355556. Its totient is φ = 838656.

The previous prime is 2571979. The next prime is 2572001. The reversal of 2571984 is 4891752.

2571984 is a `hidden beast` number, since 2 + 571 + 9 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1272384 + 1299600 = 1128^2 + 1140^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7464 + ... + 7800.

2^2571984 is an apocalyptic number.

2571984 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 2571984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677778).

2571984 is an abundant number, since it is smaller than the sum of its proper divisors (4783572).

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

2571984 is a wasteful number, since it uses less digits than its factorization.

2571984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 395 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 2571984 is about 1603.7406274083. The cubic root of 2571984 is about 137.0112055054.

The spelling of 2571984 in words is "two million, five hundred seventy-one thousand, nine hundred eighty-four".