247981821472 has 384 divisors, whose sum is σ = 638920009728. Its totient is φ = 91968307200.

The previous prime is 247981821443. The next prime is 247981821491. The reversal of 247981821472 is 274128189742.

It is a super-2 number, since 2×247981821472² (a number of 24 digits) contains 22 as substring.

Its product of digits (3612672) is a multiple of the sum of its prime divisors (504).

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, 1284879808 + ... + 1284880000.

It is an arithmetic number, because the mean of its divisors is an integer number (1663854192).

Almost surely, 2^247981821472 is an apocalyptic number.

247981821472 is a gapful number since it is divisible by the number (22) 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 247981821472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319460004864).

247981821472 is an abundant number, since it is smaller than the sum of its proper divisors (390938188256).

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

247981821472 is a wasteful number, since it uses less digits than its factorization.

247981821472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 55.

It can be divided in two parts, 247981 and 821472, that added together give a triangular number (1069453 = T₁₄₆₂).

The spelling of 247981821472 in words is "two hundred forty-seven billion, nine hundred eighty-one million, eight hundred twenty-one thousand, four hundred seventy-two".