2510605240 has 128 divisors (see below), whose sum is σ = 6736504320. Its totient is φ = 830016000.

The previous prime is 2510605231. The next prime is 2510605241. The reversal of 2510605240 is 425060152.

2510605240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2510605240² = 12606277342230915200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2510605241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379965 + ... + 386515.

It is an arithmetic number, because the mean of its divisors is an integer number (52628940).

Almost surely, 2^2510605240 is an apocalyptic number.

2510605240 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 2510605240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368252160).

2510605240 is an abundant number, since it is smaller than the sum of its proper divisors (4225899080).

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

2510605240 is a wasteful number, since it uses less digits than its factorization.

2510605240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6653 (or 6649 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2510605240 is about 50105.9401668106. The cubic root of 2510605240 is about 1359.1252376398.

Adding to 2510605240 its reverse (425060152), we get a palindrome (2935665392).

The spelling of 2510605240 in words is "two billion, five hundred ten million, six hundred five thousand, two hundred forty".