245512106040 has 128 divisors (see below), whose sum is σ = 744951168000. Its totient is φ = 64724075520.

The previous prime is 245512106033. The next prime is 245512106051. The reversal of 245512106040 is 40601215542.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 245512105989 and 245512106007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7387060 + ... + 7420220.

It is an arithmetic number, because the mean of its divisors is an integer number (5819931000).

Almost surely, 2^245512106040 is an apocalyptic number.

245512106040 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 245512106040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372475584000).

245512106040 is an abundant number, since it is smaller than the sum of its proper divisors (499439061960).

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

245512106040 is a wasteful number, since it uses less digits than its factorization.

245512106040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33877 (or 33873 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 245512106040 in words is "two hundred forty-five billion, five hundred twelve million, one hundred six thousand, forty".