245580042240 has 832 divisors, whose sum is σ = 951152025600. Its totient is φ = 59751530496.

The previous prime is 245580042221. The next prime is 245580042269. The reversal of 245580042240 is 42240085542.

245580042240 is a `hidden beast` number, since 24 + 558 + 0 + 0 + 42 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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 = 245580042195 and 245580042204.

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, 912936826 + ... + 912937094.

Almost surely, 2^245580042240 is an apocalyptic number.

245580042240 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 245580042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475576012800).

245580042240 is an abundant number, since it is smaller than the sum of its proper divisors (705571983360).

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

245580042240 is a wasteful number, since it uses less digits than its factorization.

245580042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 245580042240 in words is "two hundred forty-five billion, five hundred eighty million, forty-two thousand, two hundred forty".