2431680603552 has 336 divisors, whose sum is σ = 7419144096000. Its totient is φ = 784188915840.

The previous prime is 2431680603529. The next prime is 2431680603557. The reversal of 2431680603552 is 2553060861342.

2431680603552 is a `hidden beast` number, since 2 + 4 + 3 + 16 + 80 + 6 + 0 + 3 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2431680603498 and 2431680603507.

It is not an unprimeable number, because it can be changed into a prime (2431680603557) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 694962699 + ... + 694966197.

It is an arithmetic number, because the mean of its divisors is an integer number (22080786000).

Almost surely, 2^{2431680603552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2431680603552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709572048000).

2431680603552 is an abundant number, since it is smaller than the sum of its proper divisors (4987463492448).

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

2431680603552 is an frugal number, since it uses more digits than its factorization.

2431680603552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2431680603552 in words is "two trillion, four hundred thirty-one billion, six hundred eighty million, six hundred three thousand, five hundred fifty-two".