2569009652 has 48 divisors (see below), whose sum is σ = 5071429440. Its totient is φ = 1128518400.

The previous prime is 2569009603. The next prime is 2569009657.

2569009652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2569009652² = 13199621184138322208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2569009657) 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, 186374 + ... + 199682.

It is an arithmetic number, because the mean of its divisors is an integer number (105654780).

Almost surely, 2^2569009652 is an apocalyptic number.

2569009652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2569009652 is a deficient number, since it is larger than the sum of its proper divisors (2502419788).

2569009652 is a wasteful number, since it uses less digits than its factorization.

2569009652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13472 (or 13470 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 44.

The square root of 2569009652 is about 50685.3988047840. The cubic root of 2569009652 is about 1369.5837000348.

The spelling of 2569009652 in words is "two billion, five hundred sixty-nine million, nine thousand, six hundred fifty-two".