2847242452320 has 768 divisors, whose sum is σ = 11770085376000. Its totient is φ = 629069690880.

The previous prime is 2847242452283. The next prime is 2847242452337. The reversal of 2847242452320 is 232542427482.

2847242452320 is a `hidden beast` number, since 2 + 8 + 47 + 242 + 45 + 2 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1356474631 + ... + 1356476729.

It is an arithmetic number, because the mean of its divisors is an integer number (15325632000).

Almost surely, 2^{2847242452320} is an apocalyptic number.

2847242452320 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 2847242452320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885042688000).

2847242452320 is an abundant number, since it is smaller than the sum of its proper divisors (8922842923680).

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

2847242452320 is a wasteful number, since it uses less digits than its factorization.

2847242452320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 2847242452320 in words is "two trillion, eight hundred forty-seven billion, two hundred forty-two million, four hundred fifty-two thousand, three hundred twenty".