2927124480 has 448 divisors, whose sum is σ = 11097451008. Its totient is φ = 644874240.

The previous prime is 2927124433. The next prime is 2927124491. The reversal of 2927124480 is 844217292.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35266519 + ... + 35266601.

It is an arithmetic number, because the mean of its divisors is an integer number (24771096).

Almost surely, 2^2927124480 is an apocalyptic number.

2927124480 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 2927124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548725504).

2927124480 is an abundant number, since it is smaller than the sum of its proper divisors (8170326528).

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

2927124480 is an equidigital number, since it uses as much as digits as its factorization.

2927124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2927124480 is about 54102.9063914315. The cubic root of 2927124480 is about 1430.4754120464.

The spelling of 2927124480 in words is "two billion, nine hundred twenty-seven million, one hundred twenty-four thousand, four hundred eighty".