2474431680000 has 1200 divisors, whose sum is σ = 9696470636160. Its totient is φ = 548960256000.

The previous prime is 2474431679939. The next prime is 2474431680067. The reversal of 2474431680000 is 861344742.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×2474431680000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31321919961 + ... + 31321920039.

Almost surely, 2^{2474431680000} is an apocalyptic number.

2474431680000 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 2474431680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848235318080).

2474431680000 is an abundant number, since it is smaller than the sum of its proper divisors (7222038956160).

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

2474431680000 is an frugal number, since it uses more digits than its factorization.

2474431680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 2474431680000 in words is "two trillion, four hundred seventy-four billion, four hundred thirty-one million, six hundred eighty thousand".