2400132520 has 32 divisors (see below), whose sum is σ = 5401719720. Its totient is φ = 959800320.

The previous prime is 2400132451. The next prime is 2400132521. The reversal of 2400132520 is 252310042.

2400132520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1856403396 + 543729124 = 43086^2 + 23318^2 .

It is a super-2 number, since 2×2400132520² = 11521272227123100800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2400132521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249724 + ... + 259156.

Almost surely, 2^2400132520 is an apocalyptic number.

2400132520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400132520 is an abundant number, since it is smaller than the sum of its proper divisors (3001587200).

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

2400132520 is a wasteful number, since it uses less digits than its factorization.

2400132520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15805 (or 15801 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2400132520 is about 48991.1473635799. The cubic root of 2400132520 is about 1338.8905422815.

Adding to 2400132520 its reverse (252310042), we get a palindrome (2652442562).

The spelling of 2400132520 in words is "two billion, four hundred million, one hundred thirty-two thousand, five hundred twenty".