2440837440 has 168 divisors, whose sum is σ = 8497446048. Its totient is φ = 642984960.

The previous prime is 2440837439. The next prime is 2440837501. The reversal of 2440837440 is 447380442.

It is a happy number.

2440837440 is a `hidden beast` number, since 244 + 0 + 8 + 374 + 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 = 2440837395 and 2440837404.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 233935 + ... + 244145.

It is an arithmetic number, because the mean of its divisors is an integer number (50580036).

Almost surely, 2^2440837440 is an apocalyptic number.

2440837440 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 2440837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248723024).

2440837440 is an abundant number, since it is smaller than the sum of its proper divisors (6056608608).

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

2440837440 is a wasteful number, since it uses less digits than its factorization.

2440837440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10317 (or 10304 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2440837440 is about 49404.8321523310. The cubic root of 2440837440 is about 1346.4171002199.

The spelling of 2440837440 in words is "two billion, four hundred forty million, eight hundred thirty-seven thousand, four hundred forty".