249209815040 has 84 divisors (see below), whose sum is σ = 598115853804. Its totient is φ = 99681828864.

The previous prime is 249209815031. The next prime is 249209815051. The reversal of 249209815040 is 40518902942.

It can be written as a sum of positive squares in 2 ways, for example, as 196596465664 + 52613349376 = 443392^2 + 229376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 249209814982 and 249209815000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5219114 + ... + 5266646.

It is an arithmetic number, because the mean of its divisors is an integer number (7120426831).

Almost surely, 2^249209815040 is an apocalyptic number.

249209815040 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 249209815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299057926902).

249209815040 is an abundant number, since it is smaller than the sum of its proper divisors (348906038764).

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

249209815040 is an frugal number, since it uses more digits than its factorization.

249209815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47578 (or 47540 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 249209815040 in words is "two hundred forty-nine billion, two hundred nine million, eight hundred fifteen thousand, forty".