2920458240 has 480 divisors, whose sum is σ = 11987015040. Its totient is φ = 666206208.

The previous prime is 2920458209. The next prime is 2920458241. The reversal of 2920458240 is 428540292.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 2920458195 and 2920458204.

It is not an unprimeable number, because it can be changed into a prime (2920458241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5805829 + ... + 5806331.

It is an arithmetic number, because the mean of its divisors is an integer number (24972948).

Almost surely, 2^2920458240 is an apocalyptic number.

2920458240 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 2920458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993507520).

2920458240 is an abundant number, since it is smaller than the sum of its proper divisors (9066556800).

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

2920458240 is an equidigital number, since it uses as much as digits as its factorization.

2920458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2920458240 is about 54041.2642339167. The cubic root of 2920458240 is about 1429.3886639802.

The spelling of 2920458240 in words is "two billion, nine hundred twenty million, four hundred fifty-eight thousand, two hundred forty".