2552461205 has 24 divisors (see below), whose sum is σ = 3566650968. Its totient is φ = 1748479488.

The previous prime is 2552461199. The next prime is 2552461211. The reversal of 2552461205 is 5021642552.

2552461205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2552461199) and next prime (2552461211).

It can be written as a sum of positive squares in 4 ways, for example, as 13712209 + 2538748996 = 3703^2 + 50386^2 .

It is not a de Polignac number, because 2552461205 - 2¹⁶ = 2552395669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264017 + ... + 273513.

It is an arithmetic number, because the mean of its divisors is an integer number (148610457).

Almost surely, 2^2552461205 is an apocalyptic number.

It is an amenable number.

2552461205 is a deficient number, since it is larger than the sum of its proper divisors (1014189763).

2552461205 is a wasteful number, since it uses less digits than its factorization.

2552461205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10613 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 2552461205 is about 50521.8883752379. Note that the first 3 decimals coincide. The cubic root of 2552461205 is about 1366.6366080705.

The spelling of 2552461205 in words is "two billion, five hundred fifty-two million, four hundred sixty-one thousand, two hundred five".