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2920320000 = 2103354132
BaseRepresentation
bin1010111000010000…
…1000110000000000
321112112002121221000
42232010020300000
521440100220000
61201440332000
7132240211323
oct25604106000
97475077830
102920320000
111269498704
12696014000
13377036a00
141d9bc47ba
151215a5000
hexae108c00

2920320000 has 660 divisors, whose sum is σ = 11702535240. Its totient is φ = 718848000.

The previous prime is 2920319999. The next prime is 2920320019. The reversal of 2920320000 is 230292.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 224639994 + ... + 224640006.

It is an arithmetic number, because the mean of its divisors is an integer number (17731114).

Almost surely, 22920320000 is an apocalyptic number.

2920320000 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 2920320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851267620).

2920320000 is an abundant number, since it is smaller than the sum of its proper divisors (8782215240).

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

2920320000 is an equidigital number, since it uses as much as digits as its factorization.

2920320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2920320000 is about 54039.9851961490. The cubic root of 2920320000 is about 1429.3661102357.

Adding to 2920320000 its reverse (230292), we get a palindrome (2920550292).

The spelling of 2920320000 in words is "two billion, nine hundred twenty million, three hundred twenty thousand".