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2090978880 = 263519295967
BaseRepresentation
bin111110010100001…
…1100111001000000
312101201112201210020
41330220130321000
513240242311010
6543252533440
7102550012224
oct17450347100
95351481706
102090978880
11983337421
124a4321280
1327427ca13
1415b9bc784
15c3884470
hex7ca1ce40

2090978880 has 448 divisors, whose sum is σ = 7461504000. Its totient is φ = 493903872.

The previous prime is 2090978837. The next prime is 2090978917. The reversal of 2090978880 is 888790902.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31208607 + ... + 31208673.

Almost surely, 22090978880 is an apocalyptic number.

2090978880 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 2090978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730752000).

2090978880 is an abundant number, since it is smaller than the sum of its proper divisors (5370525120).

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

2090978880 is a wasteful number, since it uses less digits than its factorization.

2090978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The square root of 2090978880 is about 45727.2225266307. Note that the first 3 decimals coincide. The cubic root of 2090978880 is about 1278.7428411999.

The spelling of 2090978880 in words is "two billion, ninety million, nine hundred seventy-eight thousand, eight hundred eighty".