2552421324240 has 320 divisors, whose sum is σ = 9009635846400. Its totient is φ = 663784243200.

The previous prime is 2552421324223. The next prime is 2552421324241. The reversal of 2552421324240 is 424231242552.

2552421324240 is a `hidden beast` number, since 2 + 5 + 52 + 42 + 1 + 324 + 240 = 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 = 2552421324195 and 2552421324204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552421324241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344406135 + ... + 344413545.

It is an arithmetic number, because the mean of its divisors is an integer number (28155112020).

Almost surely, 2^{2552421324240} is an apocalyptic number.

2552421324240 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 2552421324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504817923200).

2552421324240 is an abundant number, since it is smaller than the sum of its proper divisors (6457214522160).

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

2552421324240 is a wasteful number, since it uses less digits than its factorization.

2552421324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11363 (or 11351 counting only the distinct ones).

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

Adding to 2552421324240 its reverse (424231242552), we get a palindrome (2976652566792).

The spelling of 2552421324240 in words is "two trillion, five hundred fifty-two billion, four hundred twenty-one million, three hundred twenty-four thousand, two hundred forty".