2400015040 has 224 divisors, whose sum is σ = 6287560704. Its totient is φ = 869806080.

The previous prime is 2400015011. The next prime is 2400015043. The reversal of 2400015040 is 405100042.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2400015043) 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 31 ways as a sum of consecutive naturals, for example, 15286642 + ... + 15286798.

Almost surely, 2^2400015040 is an apocalyptic number.

2400015040 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 2400015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143780352).

2400015040 is an abundant number, since it is smaller than the sum of its proper divisors (3887545664).

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

2400015040 is a wasteful number, since it uses less digits than its factorization.

2400015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2400015040 is about 48989.9483567803. The cubic root of 2400015040 is about 1338.8686969006.

Adding to 2400015040 its reverse (405100042), we get a palindrome (2805115082).

The spelling of 2400015040 in words is "two billion, four hundred million, fifteen thousand, forty".