2570016 has 48 divisors (see below), whose sum is σ = 7106400. Its totient is φ = 811008.

The previous prime is 2570011. The next prime is 2570017. The reversal of 2570016 is 6100752.

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

It is a junction number, because it is equal to n+sod(n) for n = 2569974 and 2570001.

It is not an unprimeable number, because it can be changed into a prime (2570011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1120 + ... + 2528.

It is an arithmetic number, because the mean of its divisors is an integer number (148050).

2^2570016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2570016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553200).

2570016 is an abundant number, since it is smaller than the sum of its proper divisors (4536384).

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

2570016 is a wasteful number, since it uses less digits than its factorization.

2570016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 2570016 is about 1603.1269444433. The cubic root of 2570016 is about 136.9762510559.

Adding to 2570016 its reverse (6100752), we get a palindrome (8670768).

The spelling of 2570016 in words is "two million, five hundred seventy thousand, sixteen".