2447874000 has 640 divisors, whose sum is σ = 10334338560. Its totient is φ = 546048000.

The previous prime is 2447873971. The next prime is 2447874007. The reversal of 2447874000 is 4787442.

2447874000 is a `hidden beast` number, since 244 + 7 + 8 + 7 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2447874007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7721842 + ... + 7722158.

It is an arithmetic number, because the mean of its divisors is an integer number (16147404).

Almost surely, 2^2447874000 is an apocalyptic number.

2447874000 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 2447874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5167169280).

2447874000 is an abundant number, since it is smaller than the sum of its proper divisors (7886464560).

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

2447874000 is a wasteful number, since it uses less digits than its factorization.

2447874000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 2447874000 is about 49475.9941789955. The cubic root of 2447874000 is about 1347.7096968973.

The spelling of 2447874000 in words is "two billion, four hundred forty-seven million, eight hundred seventy-four thousand".