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2123440704 = 263371115959
BaseRepresentation
bin111111010010001…
…0010001001000000
312110222121222001000
41332210102021000
513322100100304
6550412412000
7103422643140
oct17644221100
95428558030
102123440704
1199a699480
124b3177000
1327ac073b8
1416202c920
15c6647939
hex7e912240

2123440704 has 224 divisors, whose sum is σ = 7783372800. Its totient is φ = 551508480.

The previous prime is 2123440691. The next prime is 2123440721. The reversal of 2123440704 is 4070443212.

2123440704 is a `hidden beast` number, since 21 + 234 + 407 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125077 + ... + 141035.

It is an arithmetic number, because the mean of its divisors is an integer number (34747200).

Almost surely, 22123440704 is an apocalyptic number.

2123440704 is a gapful number since it is divisible by the number (24) 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 2123440704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891686400).

2123440704 is an abundant number, since it is smaller than the sum of its proper divisors (5659932096).

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

2123440704 is a wasteful number, since it uses less digits than its factorization.

2123440704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15998 (or 15982 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2123440704 is about 46080.8062429467. The cubic root of 2123440704 is about 1285.3262564917.

Adding to 2123440704 its reverse (4070443212), we get a palindrome (6193883916).

The spelling of 2123440704 in words is "two billion, one hundred twenty-three million, four hundred forty thousand, seven hundred four".