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2126022480 = 24325192329233
BaseRepresentation
bin111111010111000…
…1000011101010000
312111011111010120100
41332232020131100
513323230204410
6550544012400
7103453615161
oct17656103520
95434433510
102126022480
119a10a217a
124b4001100
1327b5cc58a
14162501768
15c69a78c0
hex7eb88750

2126022480 has 480 divisors, whose sum is σ = 8147692800. Its totient is φ = 493903872.

The previous prime is 2126022473. The next prime is 2126022511. The reversal of 2126022480 is 842206212.

It is a happy number.

2126022480 is a `hidden beast` number, since 2 + 12 + 602 + 2 + 48 + 0 = 666.

2126022480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9124444 + ... + 9124676.

It is an arithmetic number, because the mean of its divisors is an integer number (16974360).

Almost surely, 22126022480 is an apocalyptic number.

2126022480 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 2126022480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073846400).

2126022480 is an abundant number, since it is smaller than the sum of its proper divisors (6021670320).

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

2126022480 is a wasteful number, since it uses less digits than its factorization.

2126022480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2126022480 is about 46108.8113054327. The cubic root of 2126022480 is about 1285.8469649320.

Adding to 2126022480 its reverse (842206212), we get a palindrome (2968228692).

The spelling of 2126022480 in words is "two billion, one hundred twenty-six million, twenty-two thousand, four hundred eighty".