2450242135440 has 320 divisors, whose sum is σ = 9748558552320. Its totient is φ = 559056936960.

The previous prime is 2450242135379. The next prime is 2450242135463. The reversal of 2450242135440 is 445312420542.

2450242135440 is a `hidden beast` number, since 2 + 45 + 0 + 2 + 42 + 135 + 440 = 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 = 2450242135395 and 2450242135404.

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, 2629159 + ... + 3436998.

It is an arithmetic number, because the mean of its divisors is an integer number (30464245476).

Almost surely, 2^{2450242135440} is an apocalyptic number.

2450242135440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2450242135440 is an abundant number, since it is smaller than the sum of its proper divisors (7298316416880).

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

2450242135440 is a wasteful number, since it uses less digits than its factorization.

2450242135440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6066207 (or 6066195 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 2450242135440 its reverse (445312420542), we get a palindrome (2895554555982).

The spelling of 2450242135440 in words is "two trillion, four hundred fifty billion, two hundred forty-two million, one hundred thirty-five thousand, four hundred forty".