2581960969 has 45 divisors (see below), whose sum is σ = 3253028181. Its totient is φ = 2048780160.

The previous prime is 2581960957. The next prime is 2581960991. The reversal of 2581960969 is 9690691852.

It is a happy number.

The square root of 2581960969 is 50813.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 238239225 + 2343721744 = 15435^2 + 48412^2 .

It is not a de Polignac number, because 2581960969 - 2¹⁵ = 2581928201 is a prime.

It is a super-2 number, since 2×2581960969² = 13333044890878837922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2581960919) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 42327199 + ... + 42327259.

Almost surely, 2^2581960969 is an apocalyptic number.

2581960969 is the 50813-rd square number.

2581960969 is the 25407-th centered octagonal number.

It is an amenable number.

2581960969 is a deficient number, since it is larger than the sum of its proper divisors (671067212).

2581960969 is an frugal number, since it uses more digits than its factorization.

2581960969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 55.

The cubic root of 2581960969 is about 1371.8813672935.

The spelling of 2581960969 in words is "two billion, five hundred eighty-one million, nine hundred sixty thousand, nine hundred sixty-nine".