2400700506 has 48 divisors (see below), whose sum is σ = 4947370848. Its totient is φ = 776412000.

The previous prime is 2400700499. The next prime is 2400700513. The reversal of 2400700506 is 6050070042.

It is a happy number.

2400700506 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2400700499) and next prime (2400700513).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2283681 + ... + 2284731.

It is an arithmetic number, because the mean of its divisors is an integer number (103070226).

Almost surely, 2^2400700506 is an apocalyptic number.

2400700506 is an abundant number, since it is smaller than the sum of its proper divisors (2546670342).

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

2400700506 is a wasteful number, since it uses less digits than its factorization.

2400700506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2400700506 is about 48996.9438434684. The cubic root of 2400700506 is about 1338.9961491035.

Adding to 2400700506 its reverse (6050070042), we get a palindrome (8450770548).

The spelling of 2400700506 in words is "two billion, four hundred million, seven hundred thousand, five hundred six".