2427122880 has 840 divisors, whose sum is σ = 10876708752. Its totient is φ = 512096256.

The previous prime is 2427122869. The next prime is 2427122881. The reversal of 2427122880 is 882217242.

2427122880 is a `hidden beast` number, since 2 + 427 + 1 + 228 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is not an unprimeable number, because it can be changed into a prime (2427122881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 186701754 + ... + 186701766.

Almost surely, 2^2427122880 is an apocalyptic number.

2427122880 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 2427122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438354376).

2427122880 is an abundant number, since it is smaller than the sum of its proper divisors (8449585872).

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

2427122880 is an frugal number, since it uses more digits than its factorization.

2427122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2427122880 is about 49265.8388744168. The cubic root of 2427122880 is about 1343.8906160978.

The spelling of 2427122880 in words is "two billion, four hundred twenty-seven million, one hundred twenty-two thousand, eight hundred eighty".