249103344840 has 256 divisors, whose sum is σ = 908293478400. Its totient is φ = 53384749056.

The previous prime is 249103344829. The next prime is 249103344907. The reversal of 249103344840 is 48443301942.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 249103344792 and 249103344801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1467667 + ... + 1628573.

It is an arithmetic number, because the mean of its divisors is an integer number (3548021400).

Almost surely, 2^249103344840 is an apocalyptic number.

249103344840 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 249103344840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454146739200).

249103344840 is an abundant number, since it is smaller than the sum of its proper divisors (659190133560).

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

249103344840 is a wasteful number, since it uses less digits than its factorization.

249103344840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161044 (or 161040 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 249103344840 in words is "two hundred forty-nine billion, one hundred three million, three hundred forty-four thousand, eight hundred forty".