2447953920 has 416 divisors, whose sum is σ = 9200131200. Its totient is φ = 615776256.

The previous prime is 2447953919. The next prime is 2447953931. The reversal of 2447953920 is 293597442.

2447953920 is a `hidden beast` number, since 2 + 44 + 79 + 539 + 2 + 0 = 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 31 ways as a sum of consecutive naturals, for example, 10506124 + ... + 10506356.

It is an arithmetic number, because the mean of its divisors is an integer number (22115700).

Almost surely, 2^2447953920 is an apocalyptic number.

2447953920 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 2447953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600065600).

2447953920 is an abundant number, since it is smaller than the sum of its proper divisors (6752177280).

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

2447953920 is a wasteful number, since it uses less digits than its factorization.

2447953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2447953920 is about 49476.8018368205. The cubic root of 2447953920 is about 1347.7243637452.

The spelling of 2447953920 in words is "two billion, four hundred forty-seven million, nine hundred fifty-three thousand, nine hundred twenty".