2400315552 has 48 divisors (see below), whose sum is σ = 7000922880. Its totient is φ = 800104896.

The previous prime is 2400315551. The next prime is 2400315559. The reversal of 2400315552 is 2555130042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 (2400315551) 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 7 ways as a sum of consecutive naturals, for example, 1388208 + ... + 1389935.

It is an arithmetic number, because the mean of its divisors is an integer number (145852560).

Almost surely, 2^2400315552 is an apocalyptic number.

It is an amenable number.

2400315552 is an abundant number, since it is smaller than the sum of its proper divisors (4600607328).

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

2400315552 is a wasteful number, since it uses less digits than its factorization.

2400315552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778162 (or 2778148 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2400315552 is about 48993.0153389236. The cubic root of 2400315552 is about 1338.9245756224.

Adding to 2400315552 its reverse (2555130042), we get a palindrome (4955445594).

The spelling of 2400315552 in words is "two billion, four hundred million, three hundred fifteen thousand, five hundred fifty-two".