2438951040 has 512 divisors, whose sum is σ = 9282816000. Its totient is φ = 603832320.

The previous prime is 2438950991. The next prime is 2438951041. The reversal of 2438951040 is 401598342.

2438951040 is a `hidden beast` number, since 24 + 3 + 89 + 510 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2438950986 and 2438951004.

It is not an unprimeable number, because it can be changed into a prime (2438951041) 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 63 ways as a sum of consecutive naturals, for example, 15534642 + ... + 15534798.

It is an arithmetic number, because the mean of its divisors is an integer number (18130500).

Almost surely, 2^2438951040 is an apocalyptic number.

2438951040 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 2438951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641408000).

2438951040 is an abundant number, since it is smaller than the sum of its proper divisors (6843864960).

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

2438951040 is a wasteful number, since it uses less digits than its factorization.

2438951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2438951040 is about 49385.7372122762. The cubic root of 2438951040 is about 1346.0701515631.

The spelling of 2438951040 in words is "two billion, four hundred thirty-eight million, nine hundred fifty-one thousand, forty".