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2030104440 = 23325713311999
BaseRepresentation
bin111100100000000…
…1110111101111000
312020110222222202100
41321000032331320
513124201320230
6533240103400
7101210413560
oct17100167570
95213888670
102030104440
11951a39571
12487a64b60
13264787a40
14153893da0
15bd35c660
hex7900ef78

2030104440 has 384 divisors, whose sum is σ = 8386560000. Its totient is φ = 414305280.

The previous prime is 2030104403. The next prime is 2030104441. The reversal of 2030104440 is 444010302.

2030104440 = T131 + T132 + ... + T2300.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030104441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1014561 + ... + 1016559.

It is an arithmetic number, because the mean of its divisors is an integer number (21840000).

Almost surely, 22030104440 is an apocalyptic number.

2030104440 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 2030104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193280000).

2030104440 is an abundant number, since it is smaller than the sum of its proper divisors (6356455560).

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

2030104440 is a wasteful number, since it uses less digits than its factorization.

2030104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2030104440 is about 45056.6803038129. The cubic root of 2030104440 is about 1266.2111310538.

Adding to 2030104440 its reverse (444010302), we get a palindrome (2474114742).

The spelling of 2030104440 in words is "two billion, thirty million, one hundred four thousand, four hundred forty".