2920242480 has 80 divisors (see below), whose sum is σ = 9086605920. Its totient is φ = 775819264.

The previous prime is 2920242467. The next prime is 2920242491. The reversal of 2920242480 is 842420292.

It is a happy number.

2920242480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2920242480² = 17055632283993100800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41944 + ... + 87176.

It is an arithmetic number, because the mean of its divisors is an integer number (113582574).

Almost surely, 2^2920242480 is an apocalyptic number.

2920242480 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 2920242480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543302960).

2920242480 is an abundant number, since it is smaller than the sum of its proper divisors (6166363440).

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

2920242480 is a wasteful number, since it uses less digits than its factorization.

2920242480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45518 (or 45512 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2920242480 is about 54039.2679447085. The cubic root of 2920242480 is about 1429.3534625988.

The spelling of 2920242480 in words is "two billion, nine hundred twenty million, two hundred forty-two thousand, four hundred eighty".