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2040580608 = 29311235989
BaseRepresentation
bin111100110100000…
…1100101000000000
312021012201020100120
41321220030220000
513134342034413
6534252420240
7101365435413
oct17150145000
95235636316
102040580608
11957944460
1248b477680
132669b5261
1415501db7a
15be22b723
hex79a0ca00

2040580608 has 320 divisors, whose sum is σ = 6363878400. Its totient is φ = 574914560.

The previous prime is 2040580603. The next prime is 2040580643. The reversal of 2040580608 is 8060850402.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2040580603) by changing a digit.

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, 22927828 + ... + 22927916.

It is an arithmetic number, because the mean of its divisors is an integer number (19887120).

Almost surely, 22040580608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040580608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181939200).

2040580608 is an abundant number, since it is smaller than the sum of its proper divisors (4323297792).

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

2040580608 is a wasteful number, since it uses less digits than its factorization.

2040580608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2040580608 is about 45172.7861438721. The cubic root of 2040580608 is about 1268.3854507238.

The spelling of 2040580608 in words is "two billion, forty million, five hundred eighty thousand, six hundred eight".