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2132442540 = 2232522752189
BaseRepresentation
bin111111100011010…
…0111110110101100
312111121120022020100
41333012213312230
513331401130130
6551333351100
7103562314434
oct17706476654
95447508210
102132442540
119a4787708
124b6198490
1327ca39827
141632d32c4
15c7324c60
hex7f1a7dac

2132442540 has 72 divisors (see below), whose sum is σ = 6497028720. Its totient is φ = 566135424.

The previous prime is 2132442527. The next prime is 2132442551. The reversal of 2132442540 is 452442312.

2132442540 is a `hidden beast` number, since 213 + 2 + 442 + 5 + 4 + 0 = 666.

It is a super-2 number, since 2×21324425402 = 9094622372803303200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14766 + ... + 66954.

It is an arithmetic number, because the mean of its divisors is an integer number (90236510).

Almost surely, 22132442540 is an apocalyptic number.

2132442540 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 2132442540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248514360).

2132442540 is an abundant number, since it is smaller than the sum of its proper divisors (4364586180).

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

2132442540 is a wasteful number, since it uses less digits than its factorization.

2132442540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52431 (or 52426 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2132442540 is about 46178.3774076136. The cubic root of 2132442540 is about 1287.1399771320.

Adding to 2132442540 its reverse (452442312), we get a palindrome (2584884852).

The spelling of 2132442540 in words is "two billion, one hundred thirty-two million, four hundred forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 227 454 681 908 1135 1362 2043 2270 2724 3405 4086 4540 6810 8172 10215 13620 20430 40860 52189 104378 156567 208756 260945 313134 469701 521890 626268 782835 939402 1043780 1565670 1878804 2348505 3131340 4697010 9394020 11846903 23693806 35540709 47387612 59234515 71081418 106622127 118469030 142162836 177703545 213244254 236938060 355407090 426488508 533110635 710814180 1066221270 2132442540