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2117696490 = 23257131931439
BaseRepresentation
bin111111000111001…
…0111101111101010
312110120211010110100
41332032113233222
513314112241430
6550045330230
7103323060150
oct17616275752
95416733410
102117696490
11997425798
124b1266976
13279975960
141613753d0
15c5db0960
hex7e397bea

2117696490 has 384 divisors, whose sum is σ = 7380172800. Its totient is φ = 408706560.

The previous prime is 2117696423. The next prime is 2117696491. The reversal of 2117696490 is 946967112.

2117696490 is a `hidden beast` number, since 2 + 1 + 1 + 76 + 96 + 490 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2117696491) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4823691 + ... + 4824129.

It is an arithmetic number, because the mean of its divisors is an integer number (19219200).

Almost surely, 22117696490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117696490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690086400).

2117696490 is an abundant number, since it is smaller than the sum of its proper divisors (5262476310).

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

2117696490 is a wasteful number, since it uses less digits than its factorization.

2117696490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2117696490 is about 46018.4364141156. The cubic root of 2117696490 is about 1284.1662120698.

The spelling of 2117696490 in words is "two billion, one hundred seventeen million, six hundred ninety-six thousand, four hundred ninety".