2447434880 has 128 divisors (see below), whose sum is σ = 6404702400. Its totient is φ = 886927360.

The previous prime is 2447434877. The next prime is 2447434889. The reversal of 2447434880 is 884347442.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2447434880² = 11979874983681228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (2447434889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3583019 + ... + 3583701.

Almost surely, 2^2447434880 is an apocalyptic number.

2447434880 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 2447434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202351200).

2447434880 is an abundant number, since it is smaller than the sum of its proper divisors (3957267520).

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

2447434880 is a wasteful number, since it uses less digits than its factorization.

2447434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 44.

The square root of 2447434880 is about 49471.5562722662. The cubic root of 2447434880 is about 1347.6291042860.

The spelling of 2447434880 in words is "two billion, four hundred forty-seven million, four hundred thirty-four thousand, eight hundred eighty".