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2159771040 = 253457219179
BaseRepresentation
bin1000000010111011…
…0111110110100000
312120111222201220000
42000232313312200
513410400133130
6554151220000
7104343515400
oct20056676640
95514881800
102159771040
11a09152a49
12503377600
132855b783b
14166ba8800
15c9922260
hex80bb7da0

2159771040 has 720 divisors, whose sum is σ = 9385437600. Its totient is φ = 465067008.

The previous prime is 2159771011. The next prime is 2159771071. The reversal of 2159771040 is 401779512.

It is a happy number.

2159771040 is a `hidden beast` number, since 21 + 597 + 7 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×21597710402 = 9329221890445363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2159770986 and 2159771004.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12065671 + ... + 12065849.

It is an arithmetic number, because the mean of its divisors is an integer number (13035330).

Almost surely, 22159771040 is an apocalyptic number.

2159771040 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 2159771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692718800).

2159771040 is an abundant number, since it is smaller than the sum of its proper divisors (7225666560).

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

2159771040 is a wasteful number, since it uses less digits than its factorization.

2159771040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 2159771040 is about 46473.3368718021. The cubic root of 2159771040 is about 1292.6151383898.

The spelling of 2159771040 in words is "two billion, one hundred fifty-nine million, seven hundred seventy-one thousand, forty".