2530084410 has 384 divisors, whose sum is σ = 8453652480. Its totient is φ = 531691776.

The previous prime is 2530084409. The next prime is 2530084411. The reversal of 2530084410 is 144800352.

It is an interprime number because it is at equal distance from previous prime (2530084409) and next prime (2530084411).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2530084411) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11345559 + ... + 11345781.

It is an arithmetic number, because the mean of its divisors is an integer number (22014720).

It is a vampire number, since it can be written as 30105 ⋅ 84042 (with its own digits).

Almost surely, 2^2530084410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2530084410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226826240).

2530084410 is an abundant number, since it is smaller than the sum of its proper divisors (5923568070).

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

2530084410 is a wasteful number, since it uses less digits than its factorization.

2530084410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2530084410 is about 50299.9444333689. The cubic root of 2530084410 is about 1362.6312255844.

Adding to 2530084410 its reverse (144800352), we get a palindrome (2674884762).

The spelling of 2530084410 in words is "two billion, five hundred thirty million, eighty-four thousand, four hundred ten".