2510130240 has 336 divisors, whose sum is σ = 9226369152. Its totient is φ = 624181248.

The previous prime is 2510130221. The next prime is 2510130247. The reversal of 2510130240 is 420310152.

2510130240 is a `hidden beast` number, since 2 + 510 + 130 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2510130247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8176167 + ... + 8176473.

It is an arithmetic number, because the mean of its divisors is an integer number (27459432).

Almost surely, 2^2510130240 is an apocalyptic number.

2510130240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2510130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613184576).

2510130240 is an abundant number, since it is smaller than the sum of its proper divisors (6716238912).

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

2510130240 is a wasteful number, since it uses less digits than its factorization.

2510130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2510130240 is about 50101.1999856291. The cubic root of 2510130240 is about 1359.0395179103.

Adding to 2510130240 its reverse (420310152), we get a palindrome (2930440392).

The spelling of 2510130240 in words is "two billion, five hundred ten million, one hundred thirty thousand, two hundred forty".