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2123376640 = 21157112693
BaseRepresentation
bin111111010010000…
…0010100000000000
312110222111201011021
41332210002200000
513322041023030
6550411155224
7103422255310
oct17644024000
95428451137
102123376640
1199a655330
124b3145b14
1327abb41a8
14162013440
15c663397a
hex7e902800

2123376640 has 192 divisors, whose sum is σ = 6354391680. Its totient is φ = 661585920.

The previous prime is 2123376617. The next prime is 2123376641. The reversal of 2123376640 is 466733212.

It is a junction number, because it is equal to n+sod(n) for n = 2123376596 and 2123376605.

It is not an unprimeable number, because it can be changed into a prime (2123376641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787134 + ... + 789826.

It is an arithmetic number, because the mean of its divisors is an integer number (33095790).

Almost surely, 22123376640 is an apocalyptic number.

2123376640 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 2123376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177195840).

2123376640 is an abundant number, since it is smaller than the sum of its proper divisors (4231015040).

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

2123376640 is a wasteful number, since it uses less digits than its factorization.

2123376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 2123376640 is about 46080.1111109772. Note that the first 5 decimals coincide. The cubic root of 2123376640 is about 1285.3133303055.

The spelling of 2123376640 in words is "two billion, one hundred twenty-three million, three hundred seventy-six thousand, six hundred forty".